The DOI matches its Crossref record.
The concept of a linguistic variable and its application to approximate reasoning—II
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“For more than half a century, fuzzy set theory has been recognized as an effective framework for addressing the uncertainty and imprecision inherent in linguistic assessments, thereby providing substantial support for decision-making processes [47].”
From An Integrated AHP–Fuzzy AHP Evaluation Framework for Large Language Models in Software Engineering Education (2026) · cites this paper as [47]
Citations
Cites
No references could be resolved yet.
Research works printed but not linked: 35
- Zadeh, 1973, Outline of a new approach to the analysis of complex systems and decision processes, IEEE Trans. Syst., Man and Cybern, SMC-3, 28, 10.1109/TSMC.1973.5408575 · DOI
- Bellman, 1966, Abstraction and pattern classification, J. Math. Anal. Appl., 13, 1, 10.1016/0022-247X(66)90071-0 · DOI
- Black, 1963, Reasoning with loose concepts, Dialogue, 2, 1, 10.1017/S001221730004083X · DOI
- Scriven, 1959, The logic of criteria, J. Philos., 56, 857, 10.2307/2022316 · DOI
- Khatchadourian, 1965, Vagueness, meaning and absurdity, Am. Phil. Quart., 2, 119
- Verma, 1970, Vagueness and the principle of excluded middle, Mind, 79, 66
- Goguen, 1969, The Logic of Inexact Concepts, Synthese, 19, 325, 10.1007/BF00485654 · DOI
- Adams, 1974, The logic of “Almost All”, J. Philos. Logic, 3, 3, 10.1007/BF00652068 · DOI
- Zadeh, 1966, Shadows of fuzzy sets, Probl. Transfer Inf., 2, 37
- Goguen, 1967, L-fuzzy sets, J. Math. Anal. Appl., 18, 145, 10.1016/0022-247X(67)90189-8 · DOI
- Brown, 1971, A note on fuzzy sets, Inf. Control, 18, 32, 10.1016/S0019-9958(71)90288-9 · DOI
- Mizumoto, 1972, General formulation of formal grammars, Inf. Sci., 4, 87, 10.1016/0020-0255(72)90006-0 · DOI
- Zadeh, 1971, Similarity relations and fuzzy orderings, Inf. Sci., 3, 177, 10.1016/S0020-0255(71)80005-1 · DOI
- Bellman, 1970, Decision-making in a fuzzy environment, Manage. Sci., 17, Bdash141, 10.1287/mnsc.17.4.B141 · DOI
- Bellman, 1973, On the analytic formalism of the theory of fuzzy sets, Inf. Sci., 5, 149, 10.1016/0020-0255(73)90009-1 · DOI
- Zadeh, 1972, A fuzzy-set-theoretic interpretation of linguistic hedges, J. Cybern., 2, 4, 10.1080/01969727208542910 · DOI
- Codd, 1971, Relational completeness of data base sublanguages, Vol. 6
- Zadeh, 1965, Fuzzy sets, Inf. Control, 8, 338, 10.1016/S0019-9958(65)90241-X · DOI · Paper page
- Brzozowski, 1965, Regular expressions for linear sequential circuits, IEEE Trans. Electron Comput., EC-14, 148, 10.1109/PGEC.1965.263959 · DOI
- Blikle, 1972, Equational languages, Inf. Control, 21, 134, 10.1016/S0019-9958(72)90063-0 · DOI
- Rosenkrantz, 1967, Matrix equation and normal forms for context-free grammars, J. Assoc. Comput. Mach., 14, 501, 10.1145/321406.321412 · DOI
- Zadeh, 1971, Quantitative fuzzy semantics, Inf. Sci., 3, 159, 10.1016/S0020-0255(71)80004-X · DOI
- Knuth, 1968, Semantics of context-free languages, Math. Syst. Theory, 2, 127, 10.1007/BF01692511 · DOI
- Wegner, 1972, The Vienna definition language, ACM Comput. Surv., 4, 5, 10.1145/356596.356598 · DOI
- Barkan, 1946, A functional calculus of first order based on strict implication, J. Symbol. Logic, 11, 1, 10.2307/2269159 · DOI
- Zadeh, 1968, Probability measures of fuzzy events, J. Math. Anal. Appl., 23, 421, 10.1016/0022-247X(68)90078-4 · DOI
- DeLuca, 1972, A definition of non-probabilistic entropy in the setting of fuzzy set theory, Inf. Control, 20, 201, 10.1016/S0019-9958(72)90199-4 · DOI
- DeLuca, 1972, Algebraic properties of fuzzy sets, J. Math. Anal. Appl., 40, 373, 10.1016/0022-247X(72)90057-1 · DOI
- Rosenfeld, 1971, Fuzzy groups, J. Math. Anal. Appl., 35, 512, 10.1016/0022-247X(71)90199-5 · DOI
- Zadeh, 1968, Fuzzy Algorithms, Inf. Control, 12, 94, 10.1016/S0019-9958(68)90211-8 · DOI
- Santos, 1970, Fuzzy algorithms, Inf. Control, 17, 326, 10.1016/S0019-9958(70)80032-8 · DOI
- Chang, 1972, On the execution of fuzzy programs using finite state machines, IEEE Trans. Electron. Comput., C-21, 241, 10.1109/TC.1972.5008946 · DOI
- Chang, 1972, Fuzzy mapping and control, IEEE Trans. Syst., Man and Cybern., SMC-2, 30, 10.1109/TSMC.1972.5408553 · DOI
- Lee, 1972, Fuzzy logic and the resolution principle, J. Assoc. Comput. Mach., 19, 109, 10.1145/321679.321688 · DOI
- Colby, 1971, Artificial paranoia, J. Artif. Intell., 2, 1, 10.1016/0004-3702(71)90002-6 · DOI
Cited by
Sorted by citations
Items 401–500 of 890
A Framework to Evaluate Project Complexity Using the Fuzzy TOPSIS Method
Jaber, H., Marle, F., Vidal, L.-A., Sarigol, I., & Didiez, L. (2021) · Sustainability · doi:10.3390/su13063020 · Cited by 13
“The linguistic variable might be adopted to provide approximate characterization when conventional quantitative terms are complex or ill-defined [93].”
MethodLiu, P.-D., & Liu, W. (2020) · Artificial Intelligence Review · doi:10.1007/s10462-020-09857-y · Cited by 13
Bui, K. Q., Ölçer, A., Kitada, M., & Ballini, F. (2020) · Proceedings of the Institution of Mechanical Engineers, Part M: Journal of Engineering for the Maritime Environment · doi:10.1177/1475090220917815 · Cited by 13
“The fuzzy TOPSIS evaluates the criteria weights and alternatives ratings by fuzzy linguistics evaluation based on fuzzy set theory.(10,11) There are several benefits of the TOPSIS and fuzzy TOPSIS technique.”
MethodDeveloping a computationally effective Interval Type-2 TSK Fuzzy Logic Controller
Hailemichael, A., Salaken, S. M., Karimoddini, A., Homaifar, A., Abbas, K., & Nahavandi, S. (2019) · Journal of Intelligent & Fuzzy Systems · doi:10.3233/jifs-190446 · Cited by 13
“Interval type-2 FLSs [2, 23, 25–28] reduce the computational complexity of the general type-2 FLSs, while preserving the major advantages of general type-2 FLSs, particularly, the ability of handling uncertainty [29–31].”
Majumder, S., Kundu, P., Kar, S., & Pal, T. (2018) · Soft Computing - A Fusion of Foundations, Methodologies and Applications · doi:10.1007/s00500-017-2987-7 · Cited by 13
Mehlawat, M., & Grover, N. (2017) · Annals of Operations Research · doi:10.1007/s10479-017-2477-4 · Cited by 13
“The fuzzy set theory proposed by Zadeh (1965, 1975) plays a significant role in these situations to handle the vagueness/ambiguity in a project network (Mon et al. 1995; Slyeptsov and Tyshchuk 2003; Zielinski 2005; Shankar et al. 2010).”
BackgroundHarding, J., Walker, C., & Walker, E. (2017) · doi:10.1007/s00012-018-0510-3 · Cited by 13
“While the convolution algebra has a predecessor in Zadeh’s algebra of type-2 fuzzy sets [10, 20, 21], the general definition of the convolution algebra of a relational structure over a complete lattice seems new to this paper.”
BackgroundMethodInfluentialUncertainty Measurement for the Interval Type-2 Fuzzy Set
Greenfield, S. (2016) · International Conference on Artificial Intelligence and Soft Computing · doi:10.1007/978-3-319-39378-0_17 · Cited by 13
Fuzzy Bayesian system reliability assessment based on Pascal distribution
Gholizadeh, R., Shirazi, A. M., Gildeh, B. S., & Deiri, E. (2009) · doi:10.1007/s00158-009-0396-y · Cited by 13
“Proposition 2.1 ( Zadeh 1975a b, c; Resolution Identity ) Letã be a fuzzy subset of with membership function ξ ˜ a .”
BackgroundInfluentialUllah, I., Akram, M., & Allahviranloo, T. (2025) · Information Sciences · doi:10.1016/j.ins.2024.121707 · Cited by 12
Possibilistic C-means with novel image representation for image segmentation
Cui, H.-S., Wang, H., Zeng, W., Liu, Y., & Zhao, B. (2024) · Artificial Intelligence Review · doi:10.1007/s10462-024-11057-x · Cited by 12
“Therefore, various types of fuzzy sets have been introduced for different scenarios, including the interval-valued fuzzy set (Zadeh 1975a, b , c ), intuitionistic fuzzy set (Atanassov 1986, 1989), fuzzy multisets (Miyamoto 2000; Yager 1986), and hesitant fuzzy set (Torra and Narukawa 2009).”
Huang, A., Yang, Y., & Liu, Y. (2024) · International Journal of Fuzzy Systems · doi:10.1007/s40815-024-01710-6 · Cited by 12
Gomes, A. D. O., & Basilio, J. C. (2024) · IEEE Transactions on Automation Science and Engineering · doi:10.1109/tase.2023.3242225 · Cited by 12
“Truth is actually a linguistic variable whose truth-values are taken from fuzzy numbers representing terms such as true, not true, completely true, essentially true, fairly true, more or less true, etc. [20], [21].”
BackgroundMittal, M., Jain, V., Pandey, J., Jain, M., & Dem, H. (2023) · Mathematics · doi:10.3390/math12010070 · Cited by 12
“Type 2 fuzzy sets are a sophisticated extension of type 1 fuzzy sets, originally introduced by Zadeh [7,64].”
BackgroundGiráldez-Cru, J., Chica, M., & Cordón, O. (2022) · International Journal of Fuzzy Systems · doi:10.1007/s40815-022-01385-x · Cited by 12
Chang, J., Liao, H.-C., Mi, X., & Al-barakati, A. (2021) · Applied intelligence (Boston) · doi:10.1007/s10489-021-02185-w · Cited by 12
Multi-Modal Medical Image Fusion Based on FusionNet in YIQ Color Space
Guo, K., Li, X.-F., Zang, H.-R., & Fan, T.-H. (2020) · Entropy · doi:10.3390/e22121423 · Cited by 12
“Intuitionistic fuzzy set is an improvement of the traditional fuzzy set [23–25].”
Using Different Qualitative Scales in a Multi-Criteria Decision-Making Procedure
del Pozo, R. G., Dias, L., & García-Lapresta, J. (2020) · Mathematics · doi:10.3390/math8030458 · Cited by 12
Verma, R. (2020) · Journal of Intelligent & Fuzzy Systems · doi:10.3233/jifs-181197 · Cited by 12
Representation of Japanese Candlesticks by Oriented Fuzzy Numbers
Piasecki, K., & Łyczkowska-Hanćkowiak, A. (2019) · Econometrics · doi:10.3390/econometrics8010001 · Cited by 12
Fuzzy Optimization Techniques by Hidden Markov Model with Interval Type-2 Fuzzy Parameters
Nagarajan, D., Kavikumar, J., Lathamaheswari, M., & Kumaresan, N. (2019) · International Journal of Fuzzy Systems · doi:10.1007/s40815-019-00738-3 · Cited by 12
“The aggregation operators are based on alpha-cut decomposition theorem [26, 27].”
MethodApplying the topsis-f method to assess air pollution in vilnius
Zavadskas, E., Kaklauskas, A., Kalibatas, D., Turskis, Z., Krutinis, M., & Bartkiene, L. (2018) · doi:10.30638/eemj.2018.203 · Cited by 12
New Similarity Measures of Simplified Neutrosophic Sets and Their Applications
Liu, C.-F. (2018) · Journal of Information Processing Systems · doi:10.3745/jips.04.0078 · Cited by 12
“After that, it has been successfully used in different areas [2-7].”
MethodLiu, S., Triantis, K., Zhao, L., & Wang, Y.-F. (2018) · PLoS ONE · doi:10.1371/journal.pone.0194687 · Cited by 12
Liu, P.-D., Li, Y., & Zhang, M. (2018) · Neural computing & applications (Print) · doi:10.1007/s00521-018-3350-3 · Cited by 12
Evidential Supplier Selection Based on Interval Data Fusion
He, Z., Jiang, W., & Chan, F. (2017) · International Journal of Fuzzy Systems · doi:10.1007/s40815-017-0426-7 · Cited by 12
Robustness of fuzzy connectives and fuzzy reasoning with respect to general divergence measures
Li, Y.-F., Qin, K., He, X., & Meng, D. (2016) · Fuzzy Sets Syst. · doi:10.1016/j.fss.2015.07.008 · Cited by 12
Additively reciprocal fuzzy pairwise comparison matrices and multiplicative fuzzy priorities
Krejčí, J. (2015) · Soft Computing - A Fusion of Foundations, Methodologies and Applications · doi:10.1007/s00500-015-2000-2 · Cited by 12
“The fuzzy set theory was initiated by Zadeh (1965, 1975).”
MethodQuantitative Reasoning of Goal Satisfaction in the i*Framework
Subramanian, C., Krishna, A., Kaur, A., & Gopalan, R. P. (2015) · International Conference on Software Engineering and Knowledge Engineering · doi:10.18293/seke2015-158 · Cited by 12
“The linguistic representation of stakeholder’s requirement preferences can be more easily expressed in Fuzzy Logic [9].”
BackgroundA Multi-Stage Machine Learning and Fuzzy Approach to Cyber-Hate Detection
Ketsbaia, L., Issac, B., Chen, X.-M., & Jacob, S. M. (2023) · IEEE Access · doi:10.1109/access.2023.3282834 · Cited by 12
“Fuzzy Logic takes values between 0 and 1 and uses expressions written in IF-THEN rules [57].”
MethodAdvancements in Fuzzy Research in Pakistan: A Bibliometric Perspective between 1989 and 2023
Saqlain, M., Merigó, J. M., Kumam, P., & Riaz, M. (2025) · Punjab University Journal of Mathematics · doi:10.52280/pujm.2025.57(03)01 · Cited by 9
Scenario analysis of local storylines to represent uncertainty in complex human-water systems
Alizadeh, M. R., Adamowski, J., & Inam, A. (2024) · Journal of Hydrology · doi:10.1016/j.jhydrol.2024.131186 · Cited by 11
Chen, X., Lin, C.-W., & Lin, B. (2024) · IEEE Transactions on Network Science and Engineering · doi:10.1109/tnse.2023.3321089 · Cited by 11
“According to the principles of fuzzy set theory [36], the optimization of multiple workflow applications scheduling in Authorized licensed use limited to the terms of the applicable license agreement with IEEE.”
MethodRani, J., Singh, J., & Virmani, J. (2023) · Expert Systems · doi:10.1111/exsy.13309 · Cited by 13
“Thereby neural (Cetisli, 2010a, 2010b; Manogaran et al., 2018; Zadeh et al., 1975a, 1975b, 1975c).”
Akram, M., Noreen, U., & Pamucar, D. (2022) · Expert Syst. J. Knowl. Eng. · doi:10.1111/exsy.13178 · Cited by 11
“Zadeh (1975a, 1975b, 1975c, 1983) presented remarkable contributions to the linguistic representation of data in decision analysis.”
BackgroundBao, H., & Shi, X. (2022) · Mathematical Problems in Engineering · doi:10.1155/2022/1444486 · Cited by 11
Generalized extension principle for non-normal fuzzy sets
Wu, H.-C. (2019) · Fuzzy Optimization and Decision Making · doi:10.1007/s10700-019-09307-7 · Cited by 11
Ngan, S.-C. (2018) · Expert systems with applications · doi:10.1016/j.eswa.2018.03.061 · Cited by 11
Fan, C., & Ye, J. (2018) · Mathematical Problems in Engineering · doi:10.1155/2018/4158264 · Cited by 11
How Can AI Help Reduce the Burden of Disaster Management Decision-Making?
Simões-Marques, M., & Figueira, J. (2018) · Advances in Intelligent Systems and Computing · doi:10.1007/978-3-319-94334-3_14 · Cited by 11
Pan, W.-E., Wang, F.-X., Guo, Y., & Liu, S. (2015) · doi:10.1155/2015/174585 · Cited by 11
“[22] L. A. Zadeh, “Fuzzy sets,” Information and Computation, vol. 8, pp. 338–353, 1965.”
InfluentialXu, Z., Xu, H., Li, P., & Wei, C. (2024) · Information Sciences · doi:10.1016/j.ins.2024.121269 · Cited by 10
Dynamic nonlinear simplified neutrosophic sets for multiple-attribute group decision making
Qiu, J.-D., Jiang, L., Fan, H.-H., Li, P., & You, C.-Z. (2024) · Heliyon · doi:10.1016/j.heliyon.2024.e27493 · Cited by 10
Tan, X., Zhu, J., Wei, G., & Tong, H. (2023) · Information Fusion · doi:10.1016/j.inffus.2023.102212 · Cited by 10
Naz, S., Shafiq, A., & Abbas, M. (2023) · Journal of Supercomputing · doi:10.1007/s11227-023-05678-2 · Cited by 10
Liu, P., Pan, Q., Zhu, B.-Y., & Wu, X.-M. (2023) · Information Sciences · doi:10.1016/j.ins.2023.119676 · Cited by 10
Roszkowska, E., Wachowicz, T., Filipowicz-Chomko, M., & Łyczkowska-Hanćkowiak, A. (2022) · Entropy · doi:10.3390/e24111617 · Cited by 10
“The linguistic variable is a variable whose values are not numbers but words or sentences expressed in a natural or artificial language [42–44].”
BackgroundProbabilistic linguistic decision-making based on the hybrid entropy and cross-entropy measures
Fang, B. (2022) · Fuzzy Optimization and Decision Making · doi:10.1007/s10700-022-09398-9 · Cited by 10
“To express the decision-maker’s qualitative evaluations, Zadeh has introduced the concept of linguistic variables in 1975 (Zadeh, 1975).”
Eghbali‐Zarch, M., Tavakkoli-Moghaddam, R. R., Esfahanian, F., & Masoud, S. (2022) · Medical & Biological Engineering & Computing · doi:10.1007/s11517-022-02602-3 · Cited by 11
Mohamed, B., Haytam, H., & Fennan, A. (2021) · Studies in computational intelligence · doi:10.1007/978-3-030-90087-8_19 · Cited by 13
Li, W., Li, L., Xu, Z.-S., & Tian, X. (2021) · Economic Research-Ekonomska Istraživanja · doi:10.1080/1331677x.2021.1932546 · Cited by 10
“The linguistic variable (Zadeh, 1975) is closer to the natural or artificial language and has been widely used in the decision-making field.”
Fei, T., Liu, P.-D., & Witold, P. (2021) · International Journal of Intelligent Systems · doi:10.1002/int.22473 · Cited by 10
“t m ij ij tj tj C =1 =1 =1 j j j ∑ ∑∑ (7)”
A review on fuzzy preference modeling methods for group decision-making
Wang, G., Wu, L., Liu, Y.-S., & Ye, X. (2021) · Journal of Intelligent & Fuzzy Systems · doi:10.3233/jifs-201529 · Cited by 10
“The three denotations, i.e., the name s , its semantics M ( s ) and its restriction R ( s ) can be used interchangeably [70].”
Shen, F., Liang, C., & Yang, Z. (2021) · Economic Research-Ekonomska Istraživanja · doi:10.1080/1331677x.2021.1880957 · Cited by 10
A logical reasoning based decision making method for handling qualitative knowledge
Chen, S.-W., Liu, J., & Xu, Y. (2021) · International Journal of Approximate Reasoning · doi:10.1016/j.ijar.2020.11.003 · Cited by 10
Automatically identifying performance issue reports with heuristic linguistic patterns
Zhao, Y., Xiao, L., Babvey, P., Sun, L., Wong, S., Martinez, A. A. G., & Wang, X. (2020) · ACM Joint European Software Engineering Conference and Symposium on the Foundations of Software Engineering (ESEC/FSE) · doi:10.1145/3368089.3409674 · Cited by 6
Liu, P.-D., & Liu, W. (2020) · Scientia Iranica. International Journal of Science and Technology · doi:10.24200/sci.2020.52779.2880 · Cited by 10
Interval-valued fuzzy reasoning algorithms based on Schweizer-Sklar t-norms and its application
Luo, M.-X., Zhao, R., Liu, B., & Liang, J. (2020) · Engineering applications of artificial intelligence · doi:10.1016/j.engappai.2019.103313 · Cited by 10
Impact of the Orientation of the Ordered Fuzzy Assessment on the Simple Additive Weighted Method
Piasecki, K., Roszkowska, E., & Lyczkowska-Hanckowiak, A. (2019) · Symmetry · doi:10.3390/sym11091104 · Cited by 10
Relation “Greater than or Equal to” between Ordered Fuzzy Numbers
Piasecki, K. (2019) · Applied System Innovation · doi:10.3390/asi2030026 · Cited by 10
Hu, J., Chen, P., Yang, Y., Liu, Y.-M., & Chen, X. (2019) · International Journal of Fuzzy Systems · doi:10.1007/s40815-019-00624-y · Cited by 10
Fu, H.-H., & Tzeng, S.-Y. (2016) · doi:10.1080/10941665.2016.1175487 · Cited by 10
Accurate Semantic Similarity Measurement of Biomedical Nomenclature by Means of Fuzzy Logic
Martinez-Gil, J. (2016) · Int. J. Uncertain. Fuzziness Knowl. Based Syst. · doi:10.1142/s0218488516500148 · Cited by 10
Developing an Interval Type-2 TSK Fuzzy Logic Controller
Enyinna, N., Karimoddini, A., Opoku, D., Homaifar, A., & Arnold, S. (2015) · Annual Conference on the North American Fuzzy Information Processing Society · doi:10.1109/nafips-wconsc.2015.7284160 · Cited by 10
“The Type-2 fuzzy logic system (T-2 FLS), initially developed by Zahdeh [12], is unique in its ability to model and handle uncertainty while also being able to handle complex control structures and linguistic variables.”
BackgroundAn AHP-PROMETHEE II method for 2-tuple linguistic multicriteria group decision making
Singh, A., Gupta, A., & Mehra, A. (2015) · 2015 4th International Conference on Reliability, Infocom Technologies and Optimization (ICRITO) (Trends and Future Directions) · doi:10.1109/icrito.2015.7359374 · Cited by 10
“The linguistic variables which participate in these problems are represented by means of linguistic terms [12], [13], [14], [15].”
BackgroundA new recursive type-reduction procedure for general type-2 fuzzy sets
Gafa, C., & Coupland, S. (2011) · IEEE Symposium on Type-2 Fuzzy Logic Systems · doi:10.1109/t2fuzz.2011.5949548 · Cited by 10
“Karnik and Mendel [1] used Zadeh’s extension principle [9], [10] to define the centroid of a general type2 fuzzy set, arriving at the same result as the representation theorem gives.”
MethodAn Efficient Association Rule Mining Algorithm for Classification
Zemirline, A., Lecornu, L., Solaiman, B., & Ech-Cherif, A. (2006) · International Conference on Artificial Intelligence and Soft Computing · doi:10.1007/978-3-540-69731-2_69 · Cited by 10
“U is the universe of discourse and The terms of T ( x ) are characterized by fuzzy subsets defined by the following membership functions [14]: –”
BackgroundMethodInfluentialEvaluating the Informative Quality of Web Sites by Fuzzy Computing with Words
Herrera‐Viedma, E., Peis, E., Olvera, M. D., Herrera, J. C., & Montero, Y. H. (2007) · Springer eBooks · doi:10.1007/3-540-44831-4_8 · Cited by 9
García, R. E., Benjamín, G., & Pérez, R. B. (2014) · doi:10.4067/s0718-33052014000100005 · Cited by 10
“Formalmente una variable lingüística se define según [38-41] por <N, U, T(N), M> donde:”
BackgroundRow Reduced Echelon Form for Solving Fully Fuzzy System with Unknown Coefficients
Malkawi, G., Ahmad, N., Ibrahim, H., & Alshmari, B. (2014) · doi:10.5899/2014/jfsva-00193 · Cited by 10
Fuzzy-Evolutionary Modeling for Single-Position Day Trading
Pereira, C. D. C., & Tettamanzi, A. (2008) · Natural Computing in Computational Finance · doi:10.1007/978-3-540-77477-8_8 · Cited by 10
“A linguistic variable [36] is defined on a numerical interval and has linguistic values, whose semantics is defined by their membership function.”
BackgroundKhan, A., & Ali, J. (2025) · Journal of Applied Mathematics and Computation · doi:10.1007/s12190-025-02612-y · Cited by 9
“Zadeh pioneered the foundational concept of the linguistic term set (LTS) [ 4, 5 ] in 1975, providing a framework for expressing qualitative assessments—such as an expert describing a motorbike’s performance as “good” or “excellent.””
Hou, Z., Lee, K.-M., Keung, K.-L., & Huang, J. (2025) · Applied Sciences · doi:10.3390/app15063045 · Cited by 9
Ali, Z., Hayat, K., & Pamucar, D. (2024) · PLoS ONE · doi:10.1371/journal.pone.0309900 · Cited by 9
Self-Confidence Rationality Identification of Group Decision Making Based on Consensus Analysis
Meng, F., Lv, Y., & Wang, Z.-S. (2024) · IEEE Transactions on Computational Social Systems · doi:10.1109/tcss.2022.3223795 · Cited by 9
“Qualitative variables introduced by Zadeh [53], [54], [55] are good measures, such as “unimportant,” “fair,” and “important.””
A novel cloud model based on multiplicative unbalanced linguistic term set
Chauhan, P., Gupta, A., & Malhotra, T. (2023) · Journal of Supercomputing · doi:10.1007/s11227-023-05295-z · Cited by 9
Development of a Robust Interval Type-2 TSK Fuzzy Logic Controlled UAV Platform
Hailemichael, A., & Karimoddini, A. (2023) · Journal of Intelligent and Robotic Systems · doi:10.1007/s10846-022-01798-8 · Cited by 9
“Fuzzy logic controllers are exceptionally powerful in mimicking human decision-making by using membership functions and rule based inference mechanisms [33, 41, 48].”
BackgroundMahmood, T., Ali, Z., Garg, H., Zedam, L., & Chinram, R. (2021) · Journal of mathematics · doi:10.1155/2021/2568391 · Cited by 9
“To survive such circumstances, the idea of type-2 FSs (T-2FSs) was presented by Zadeh [5], as a distinction from common FSs.”
BackgroundRetractedWang, R., Li, D., & Yu, G.-F. (2020) · Journal of Intelligent & Fuzzy Systems · doi:10.3233/jifs-191495 · Cited by 11
“[38].”
RetractedCertainty Factor Triunity in Medical Diagnostics Tasks
Kobrinskii, B. (2019) · Scientific and Technical Information Processing · doi:10.3103/s0147688219050046 · Cited by 9
Liu, D., Liu, Y., & Chen, X. (2019) · Journal of Intelligent & Fuzzy Systems · doi:10.3233/jifs-181886 · Cited by 9
A systematic fuzzy multi-criteria group decision-making approach for alternatives evaluation
Peng, J.-G., & Xia, G. (2019) · Journal of the Operational Research Society · doi:10.1080/01605682.2018.1495995 · Cited by 9
“The FLA, as developed by Zadeh (1975a, 1975b, 1975c), interprets the term set and its semantics.”
MethodWang, H.-H., Ju, Y., Liu, P.-D., Ju, D.-W., & Liu, Z.-M. (2018) · Journal of Intelligent & Fuzzy Systems · doi:10.3233/jifs-17636 · Cited by 9
“Type-2 fuzzy sets (T2FSs), which were originally proposed by Zadeh [1, 2], have the capacity to depict higher order uncertainty associated with the natu-ral linguistic expressed by human beings during the course of multiple-attribute group decision-making (MAGDM).”
Ljubojević, S., Pamucar, D., Jovanović, D., & Vesovic, V. (2017) · Operational Research · doi:10.1007/s12351-017-0293-x · Cited by 9
“To aggregate different experts’ opinions the fuzzy linguistic approach is used (Zadeh 1975; Rodrı́guez and Martı́nez 2013; Zhou et al. 2016).”
Computing sets of graded attribute implications with witnessed non-redundancy
Vychodil, V. (2015) · Information Sciences · doi:10.1016/j.ins.2016.03.004 · Cited by 9
On fuzzy logic and cognitive computing: Some perspectives
Gupta, M. (2011) · Scientia Iranica. International Journal of Science and Technology · doi:10.1016/j.scient.2011.04.010 · Cited by 9
Time Series Forecasting Using Hybrid Neuro-Fuzzy Regression Model
Chaudhuri, A., & De, K. (2009) · Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing · doi:10.1007/978-3-642-10646-0_45 · Cited by 9
A fuzzy group decision-making model with risk-taking attitudes in quality function deployment
Liu, C.-H. (2009) · Journal of Intelligent & Fuzzy Systems · doi:10.3233/ifs-2009-0429 · Cited by 9
AN EVALUATION MODEL OF INNOVATION PERFORMANCE BASED ON FUZZY INTERVAL LINGUISTIC VARIABLES
Chen, C.-T., & Chen, P. (2009) · doi:10.1080/10170660909509153 · Cited by 9
“Zadeh [23-25] consider that it is difficult to define complex or indefinite issues by traditional quantification model.”
BackgroundTransitive closure of interval-valued relations
Gonzalez-del-Campo, R., Garmendia, L., & López, V. (2008) · 2008 3rd International Conference on Intelligent System and Knowledge Engineering · doi:10.1109/iske.2008.4731150 · Cited by 9
“One of these generalizations are type-2 fuzzy sets, FS 2 , [5, 6, 7] were introduced by Zadeh.”
BackgroundEquivalence class in the set of fuzzy numbers and its application in decision-making problems
Panda, G., Panigrahi, M., & Nanda, S. (2006) · International Journal of Mathematics and Mathematical Sciences · doi:10.1155/ijmms/2006/74165 · Cited by 9
“The arithmetic operations of fuzzy numbers have been performed either by extension principle [7, 8] or by using alpha cuts as discussed by Dubois and Prade [2].”
BackgroundMethodDevelopment of applications with fuzzy objects in modern programming platforms
Berzal, F., Marín, N., Pons, O., & Vila, M. (2005) · International Journal of Intelligent Systems · doi:10.1002/int.20114 · Cited by 9
Fuzzy defect avoidance system (FDAS) for product defect control
Stewart, D., Cheraghi, S., & Malzahn, D. (2004) · doi:10.1080/00207540410001696032 · Cited by 9
A Tribute to Father of Fuzzy Set Theory and Fuzzy Logic (Dr. Lotfi A.Zadeh)
Ashfaq, M. (2018) · doi:10.4172/2090-4908.1000170 · Cited by 9
Buhl, H., Fridgen, M., & Volkert, S. (2003) · Wirtschaftsinformatik · doi:10.1007/978-3-642-57445-0_11 · Cited by 9
Sančanin, B., Penjišević, A., Simjanović, D. J., Ranđelović, B. M., Vesić, N., & Mladenović, M. (2024) · Mathematics · doi:10.3390/math12223616 · Cited by 8
Li, Y.-X., Kou, G., Peng, Y., & Morente-Molinera, J. A. (2024) · Applied intelligence (Boston) · doi:10.1007/s10489-024-05765-8 · Cited by 8
Barukab, O., Khan, A., & Khan, S. A. (2024) · Heliyon · doi:10.1016/j.heliyon.2024.e36563 · Cited by 8
Solving Fuzzy Nonlinear Optimization Problems Using Null Set Concept
Sama, J. D. L. C., & Some, K. (2023) · International Journal of Fuzzy Systems · doi:10.1007/s40815-023-01626-7 · Cited by 8
Ullah, A., Shabbir, J., Alomair, A., & Alomair, M. (2023) · Axioms · doi:10.3390/axioms12090890 · Cited by 8
“[13–15] developed the fuzzy sets theory to deal with decision-making problems under fuzzy uncertainty.”
Background
Metadata
- Authors
- Zadeh, L. A.
- Affiliations
- University of California, Berkeley (US)
- Corresponding author
- Zadeh, L.A.
- Venue
- Information Sciences
- Publisher
- Elsevier BV
- Published
- 1975-01
- Volume
- 8
- Issue
- 4
- Pages
- 301-357
- ISSN
- 0020-0255 (ISSN-L)
- OpenAlex
- W4240278385
- Cited by
- 2,555
- References
- 0
- Citations by year
- 2026: 42 · 2025: 72 · 2024: 83 · 2023: 106 · 2022: 135 · 2021: 130 · 2020: 134 · 2019: 133 · 2018: 122 · 2017: 100 · 2016: 115 · 2015: 136 · 2014: 95 · 2013: 83 · 2012: 69
- FWCI
- 13.96
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Information Sciences (publishedVersion)
- Topics
- Social Sciences › Decision Sciences › Management Science and Operations Research › Multi-Criteria Decision Making
- Social Sciences › Decision Sciences › Management Science and Operations Research › Fuzzy and Soft Set Theory
- Physical Sciences › Computer Science › Computational Theory and Mathematics › Rough Sets and Fuzzy Logic
- Keywords
- ELECTRE II, multi-criteria group decision-making, outranking relations, fuzzy ELECTRE, linguistic variables, approximate reasoning
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review