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The concept of a linguistic variable and its application to approximate reasoning—II
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“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]
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- 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
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Piasecki, K., Roszkowska, E., Wachowicz, T., Filipowicz-Chomko, M., & Łyczkowska-Hanćkowiak, A. (2021) · Entropy · doi:10.3390/e23080981 · Cited by 2
“In line with Zadeh [41–43], the ratings corresponding to the linguistic terms were represented by fuzzy numbers (FN).”
BackgroundMethodGranular fuzzy pay-off method for real option valuation
Cabrerizo, F., Heikkilä, M., Mezei, J., Morente-Molinera, J. A., Herrera-Viedma, E., & Carlsson, C. (2020) · Expert systems with applications · doi:10.1016/j.eswa.2020.113597 · Cited by 2
Intersection of Fuzzy Homogeneous Classes of Objects
Terletskyi, D. O., & Provotar, O. I. (2020) · International Conference on Computer Science and Information Technologies · doi:10.1007/978-3-030-63270-0_21 · Cited by 2
A new hybrid supplier selection model
Nguyen, T. S., Mohamed, S., & Rahman, A. (2019) · International Journal of Operations Research · doi:10.1504/ijor.2019.102412 · Cited by 2
“Linguistic terms have been regarded as intuitively easy-to-use concepts in expressing subjective and imprecise assessments of DMs (Zadeh, 1975a, 1975b).”
BackgroundMethodWhy Use a Fuzzy Partition in F-Transform?
Kreinovich, V., Kosheleva, O., & Sriboonchitta, S. (2019) · Axioms · doi:10.3390/axioms8030094 · Cited by 2
The fuzzification issue in the Wu–Mendel approach for linguistic summarisation using IF-THEN rules
Mirzakhanov, V. (2018) · Journal of experimental and theoretical artificial intelligence (Print) · doi:10.1080/0952813x.2018.1544202 · Cited by 2
“Nowadays, most of the existing LS approaches involve some components of Zadeh ’ s fuzzy logic (fuzzy set theory (Zadeh, 1965), linguistic variables (Zadeh, 1975a, 1975b, 1975c), etc.).”
MethodSimulation and evaluation of second-order fuzzy boundary value problems
Otadi, M. (2018) · Soft Computing - A Fusion of Foundations, Methodologies and Applications · doi:10.1007/s00500-018-3604-0 · Cited by 2
“From Zadeh (1975a), A is a convex fuzzy set if and only if its h -level set A h { x ∈ R | μ A ( x ) ≥ h } is a convex set for all h.”
BackgroundMethodFUZZY THEORY – A SURVEY ON ITS FOUNDATIONS AND ADVANCEMENTS
Zafar, S., Rahman, N., & Tanweer, S. (2018) · doi:10.26483/ijarcs.v9i2.5719 · Cited by 2
“In 1975, Zadeh introduced the concept of a Linguistic Variable [4, 5] for approximate reasoning.”
BackgroundLinguistic-Valued Logics Based on Hedge Algebras and Applications to Approximate Reasoning
Nguyen, T.-M.-T., & Tran, D.-K. (2017) · doi:10.18576/amis/110509 · Cited by 2
“Subsequently, Zadeh argued that the set of linguistic values of linguistic variables can be regarded as a formal language generated by a context-free grammar and hedges can be viewed as operators on fuzzy sets [28,29, 30].”
BackgroundChiao, K.-P. (2017) · 2017 Joint 17th World Congress of International Fuzzy Systems Association and 9th International Conference on Soft Computing and Intelligent Systems (IFSA-SCIS) · doi:10.1109/ifsa-scis.2017.8023334 · Cited by 2
“Based on the extension principle [5], [11], the IT2FS membership for the IT2FS quantifier guided aggregation OWA Operator can be express as”
BackgroundFuzzy multinomial logistic regression analysis: A multi-objective programming approach
Abdalla, H. A., El-Sayed, A., & Hamed, R. (2017) · doi:10.1063/1.4982855 · Cited by 2
“Consequently, the fuzzy model is expressed as: where Tj β Tj β is assumed to be a symmetric triangular fuzzy number as defined by Zadeh [17-19] and refined later by Dubois & Prade [4].”
MethodD'Urso, P. (2017) · Granular Computing · doi:10.1007/s41066-017-0040-y · Cited by 2
A Novel Entropy of Interval Valued Fuzzy Set
Liu, C.-F., & Luo, Y.-S. (2015) · doi:10.2174/1874110x01509012526 · Cited by 2
“With the development of the fuzzy sets, many new theories came out, such as the interval valued fuzzy sets [2, 3, 4] and the generalized theory of uncertainty [5].”
Su, S., & Yeh, J.-W. (2014) · International Journal of Fuzzy Logic and Intelligent Systems · doi:10.5391/ijfis.2014.14.4.276 · Cited by 2
“As mentioned in [54-56], those pre-defined membership functions can be modified (or tuned) by some operations, like “very” or “more-or-less”.”
BackgroundKundu, S., Chakrabarti, T., & Jana, D. (2014) · International Journal of Mathematics and Mathematical Sciences · doi:10.1155/2014/690435 · Cited by 2
González, E., Espín, R. A., Mazcorro, G., & Muñoz, S. (2013) · doi:10.2991/.2013.7 · Cited by 2
“…2: Predicates p(i,C) and a(i,C) correspond to the statements "player i is important to coalition C", and "player i has feasible and advantageous alternatives to reach an agreement within C". p(i,C) is squared in order to model the linguistic modifier related to the statement "very", [16].”
BackgroundLinguistic Variables of Type-N. A Mathematical Model
Santiago, R., & Maeder, C. (2011) · doi:10.5540/tema.2011.012.01.0021 · Cited by 2
“However, the concept of Type-n fuzzy sets [9, 10, 11] leads quickly to the possibility to generalize such systems to Systems of Type-n; namely, systems where the level of uncertainty are Fuzzy Sets of Type-n.”
Chi, K., Che, W.-G., Fu, F.-P., & Zhuo, M.-K. (2010) · International Conference on Computer Engineering and Technology · doi:10.1109/iccet.2010.5485279 · Cited by 2
“Since the fuzzy time series model was first proposed by Song and Chissom [2-4] based on Zadeh’s works [5-8], numerous research have been conducted to improve forecasting accuracy or reduce computational overload.”
Notice of RetractionA Modified Model of Fuzzy Time Series for Forecasting Exchange Rates
Chi, K., Fu, F.-P., & Che, W.-G. (2010) · 2010 Second International Workshop on Education Technology and Computer Science · doi:10.1109/etcs.2010.120 · Cited by 2
“To solve this problem, Song and Chissom [14-16] presented the definition of fuzzy time series by means of fuzzy theory [17-20].”
RetractedA Fuzzy Quantitative Integrated Metric Model for CMMI Appraisal
Cheng, C.-H., Chang, J.-R., Kuo, C.-Y., & Liao, S.-Y. (2009) · Hybrid Artificial Intelligence Systems · doi:10.1007/978-3-642-02319-4_26 · Cited by 2
“A linguistic variable is “a variable whose values are words or sentences in a natural or artificial language” [17,18].”
BackgroundNeuroinformatics I: Fuzzy Neural Networks of More-Equal-Less Logic (Static)
Kirvelis, D., & Dagytė, G. (2004) · Informatics Educ. · doi:10.15388/infedu.2004.06 · Cited by 2
“Fuzzy logic, evolved out of fuzzy or Zadeh sets several decades ago (Zadeh, 1965), is of special interest, as well as its application to the neural networks (Zadeh, 1975; Bezdek, 1996; Garliauskas, 1998; 2003).”
BackgroundA New Approach to Three Way Decision Through Spherical Double Hierarchy Linguistic Information
Khan, M. S. A., Abdullah, S., Khan, F., Qadir, A., & Ghani, F. (2024) · IEEE Access · doi:10.1109/access.2023.3302843 · Cited by 2
“To solve this problem, Zadeh [6] presented the linguistic variable (LV) firstly and then Xu [7] extended the discrete linguistic term set (LTS) to the continuous LTS.”
MethodĐuričić, I. (2023) · Vojnotehnički Glasnik · doi:10.5937/vojtehg71-42298 · Cited by 2
Evolutionary Fuzzy Systems: A Case Study in Imbalanced Classification
Fernández, A., & Herrera, F. (2016) · Fuzzy Logic and Information Fusion · doi:10.1007/978-3-319-30421-2_12 · Cited by 2
Shahin, M. B., Doniavi, A., Solimanpur, M., & Shahin, M. (2015) · doi:10.5267/j.dsl.2015.6.001 · Cited by 2
Score Calculation in Informatics Contests Using Multiple Criteria Decision Methods
Skūpienė, J. (2011) · Informatics in Education · doi:10.15388/infedu.2011.07 · Cited by 3
Zelewski, S. (1988) · ZOR Methods Model. Oper. Res. · doi:10.1007/bf01920573 · Cited by 2
Jović, J. L., Domazet, D. S., Vesić, N. O., Ranđelović, B. M., & Simjanović, D. J. (2026) · Mathematics · doi:10.3390/math14101637 · Cited by 1
Borovička, A. (2026) · Central European Journal of Operations Research · doi:10.1007/s10100-026-01022-0 · Cited by 1
“The developed meth - odological approaches are based on the concept of linguistic variables (Zadeh 1975a, b, c ) or fuzzy relations (Zadeh 1971).”
Amman, M., Rashid, T., & Ali, A. (2026) · Operational Research · doi:10.1007/s12351-025-01006-z · Cited by 1
“Early in the 1970s, Lotfi A. Zadeh introduced it as an expansion of fuzzy sets (FSs) theory (Zadeh 1975a , b , c ).”
Hesitant fuzzy time series forecasting: A novel approach to handle the hesitancy in the system
Bisht, K., Kumar, S., Pant, M., & Negi, S. (2025) · Journal of Computational and Applied Mathematics · doi:10.1016/j.cam.2025.117322 · Cited by 1
Shin, C. (2025) · Cognitive Neurodynamics · doi:10.1007/s11571-025-10346-7 · Cited by 2
“The recursive sigmoid-based model we introduce is inspired by fuzzy logic (Zadeh 1965, 1975a ; 1975b ; 1975c), wherein graded transitions replace binary thresholds—a requirement for modeling the continuity of cognitive phenomena.”
Melekhin, V., & Khachumov, M. (2025) · Mekhatronika Avtomatizatsiya Upravlenie · doi:10.17587/mau.26.536-546 · Cited by 1
Nie, L., Wu, H.-C., Cao, G., & Yuan, K. (2025) · Journal of Mechanical Science and Technology · doi:10.1007/s12206-025-0938-2 · Cited by 1
“Fuzzy control theory [30, 31] was proposed by Professor Zadeh.”
Ali, Z., Pamucar, D., Simić, V., & Dhanaraj, R. K. (2025) · International Journal of Cognitive Computing in Engineering · doi:10.1016/j.ijcce.2025.10.009 · Cited by 1
Asymmetric bounded fuzzy adaptive control for uncertain coordinative multiple robot manipulators
Fan, Y.-Q., Yang, L., & Li, Z. (2025) · Robotics Auton. Syst. · doi:10.1016/j.robot.2025.105198 · Cited by 1
Ali, Z., & Yang, M.-S. (2025) · Complex & Intelligent Systems · doi:10.1007/s40747-025-02010-8 · Cited by 1
“In 1975, Zadeh [46, 47] introduced the model of linguistic term sets (LTSs).”
Aydın, M., Aydoğmuş, E., & Arslanoğlu, H. (2025) · Materials Chemistry and Physics · doi:10.1016/j.matchemphys.2025.131150 · Cited by 1
Amador-Angulo, L., Melin, P., & Castillo, O. (2025) · Symmetry · doi:10.3390/sym17050789 · Cited by 1
Wang, R., Zeng, J.-H., Huang, J.-Y., Kang, R., Yuan, J., & Zhong, Q.-W. (2025) · International Journal of Computational Intelligence Systems · doi:10.1007/s44196-025-00840-5 · Cited by 1
Puzović, S., Vesić-Vasović, J., Tadić, D., & Milanović, D. D. (2025) · Applied Sciences · doi:10.3390/app15095025 · Cited by 1
“Zadeh [53] introduces IT2F sets as an alternative to conventional fuzzy sets, allowing for improved handling of uncertainties related to an element’s membership owing to their inherently fuzzy membership function [54].”
Ali, J., Khalid, U., Binyamin, M., Syam, M., & Usman, Z. (2025) · Scientific Reports · doi:10.1038/s41598-025-92536-1 · Cited by 1
“When making decisions, we don’t select from as many options as we can; instead, we pick the one that best suits our needs, demands, etc. Zadeh 1 established the fuzzy set (FS) theory with the goal of enhancing the adaptability of the assessments that aid in the method of decision-making (DM) 2,3 .”
Proportional neutrosophic sets and their AHP & TOPSIS extension
Kahraman, C. (2025) · Journal of Intelligent & Fuzzy Systems · doi:10.3233/jifs-238761 · Cited by 1
Sirbiladze, G., Kacprzyk, J., Khutsishvili, I., Midodashvili, B., & Gugunava, O. (2024) · The Arabian journal for science and engineering · doi:10.1007/s13369-024-09591-5 · Cited by 1
A novel development to encrypt data communication under t-intuitionistic fuzzy environment
Alolaiyan, H., Latif, L., Shuaib, U., Razaq, A., & Xin, Q. (2024) · PLoS ONE · doi:10.1371/journal.pone.0308140 · Cited by 1
Melekhin, V., & Khachumov, M. (2024) · Mekhatronika Avtomatizatsiya Upravlenie · doi:10.17587/mau.25.407-414 · Cited by 1
α,β,γ− Neutrosophic aggregation operators and their applications in the software site selection
Ali, S., Rahim, M., Bajri, S. A., Ahmad, S., Alharbi, R., & Khalifa, H. A. E.-W. (2024) · Heliyon · doi:10.1016/j.heliyon.2024.e31417 · Cited by 1
Zhou, X., Li, S.-L., & Wei, C.-P. (2024) · International Journal of Fuzzy Systems · doi:10.1007/s40815-024-01687-2 · Cited by 1
Bozkurt, N., & Karaca, E. O. (2023) · Osmaniye Korkut Ata Üniversitesi Fen Bilimleri Enstitüsü Dergisi · doi:10.47495/okufbed.1103422 · Cited by 1
Linares-Mustarós, S., Farreras-Noguer, M. À., Ferrer-Comalat, J. C., & Merigó, J. (2023) · Mathematics · doi:10.3390/math11234839 · Cited by 1
He, W., Dutta, B., Liu, Y.-Y., & Rodríguez, R. M. (2023) · International Journal of Computational Intelligence Systems · doi:10.1007/s44196-023-00285-8 · Cited by 1
On Development of Neutrosophic Cubic Graphs with Applications in Decision Sciences
Sultana, F., Gulistan, M., Liu, P.-D., Ali, M., Khan, Z., Al-Shamiri, M., & Azhar, M. (2022) · Journal of Function Spaces · doi:10.1155/2022/8597666 · Cited by 1
“Many other extensions of fuzzy sets have been developed so far like interval-valued fuzzy sets [2] by Zadeh, intuitionistic fuzzy Hindawi Journal of Function Spaces Volume 2022, Article ID 8597666, 24 pages https://doi.”
MethodRetractedSajja, P., & Mishra, R. (2022) · International Journal of System Dynamics Applications · doi:10.4018/ijsda.302633 · Cited by 1
A Novel Algorithm to Detect Brain Tumor using Staged-Type-II Fuzzy Classifier
Das, A., & Chatterjee, S. (2020) · IEEE Symposium Series on Computational Intelligence · doi:10.1109/ssci47803.2020.9308426 · Cited by 1
“The objective of the proposed work is to detect the brain tumor and classify the segmented tumor in Fluid-Attenuated Inversion Recovery (FLAIR) weighted MR images into benign or malignant tumor class using Type-II Fuzzy Inference System [1].”
MethodPedrycz, W. (2020) · An Introduction to Computing with Fuzzy Sets · doi:10.1007/978-3-030-52800-3_13 · Cited by 1
Zuheros, C., Martínez-Cámara, E., Herrera-Viedma, E., & Herrera, F. (2020) · arXiv.org · doi:10.48550/arxiv.2008.00032 · Cited by 1
“Traditional MpMcDM models allow experts to provide their individual evaluations through numerical ratings [34] or linguistic variables [13, 25, 46].”
BackgroundGiráldez-Cru, J., Chica, M., Cordón, O., & Herrera, F. (2020) · IEEE International Conference on Fuzzy Systems · doi:10.1109/fuzz48607.2020.9177712 · Cited by 1
Przybysz, K., & Grzesik, N. (2020) · Journal of KONBiN · doi:10.2478/jok-2020-0039 · Cited by 1
Espinilla, M., Verdejo, M. A., González, L., Nugent, C., Cruz, A. J., & Medina, J. (2019) · International Conference on Ubiquitous Computing and Ambient Intelligence · doi:10.3390/proceedings2019031022 · Cited by 1
Liu, Y., Xie, M., Zhu, J.-J., & Hao, J.-J. (2019) · Journal of Intelligent & Fuzzy Systems · doi:10.3233/jifs-182754 · Cited by 1
Fitting Sugeno integral for learning fuzzy measures using PAVA isotone regression
Beliakov, G., & Divakov, D. (2019) · International Journal of Intelligent Systems · doi:10.1002/int.22172 · Cited by 1
Temporal Relations Between Imprecise Time Intervals: Representation and Reasoning
Ghorbel, F., Hamdi, F., & Métais, E. (2019) · International Conference on Conceptual Structures · doi:10.1007/978-3-030-23182-8_7 · Cited by 1
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Barros, L., Pinto, N. J. B., & Esmi, E. (2019) · Joint IFSA World Congress and NAFIPS Annual Meeting · doi:10.1007/978-3-030-21920-8_14 · Cited by 1
Modeling language constructs with compatibility intervals
Kapustin, P., & Kapustin, M. (2019) · Proceedings of the IWCS 2019 Workshop on Computing Semantics with Types, Frames and Related Structures · doi:10.18653/v1/w19-1006 · Cited by 1
Comparing the performance of different types of distributed fuzzy-based traffic signal controllers
Araghi, S., Khosravi, A., & Creighton, D. (2019) · Journal of Intelligent & Fuzzy Systems · doi:10.3233/jifs-181993 · Cited by 1
Faraj, B. K., & Hussein, N. K. (2019) · Tikrit Journal of Pure Science · doi:10.25130/j.v24i1.832 · Cited by 1
A multivalued agent-based model for the study of noncommunicable diseases
Aziza, R., Borgi, A., Zgaya, H., & Guinhouya, B. (2019) · Journal of Biomedical Informatics · doi:10.1016/j.jbi.2019.103101 · Cited by 1
“the LAOs based on the extension principle [42], the LAOs based on symbols [43], and the LAOs based on continuous linguistic domain [39, 44].”
MethodContinuous state and action Q-learning framework applied to quadrotor UAV control
Naruta, A., Mannucci, T., & Kampen, E.-J. V. (2019) · AIAA SciTech Forum · doi:10.2514/6.2019-0145 · Cited by 2
Geometric Defuzzification revisited
Greenfield, S. (2018) · Information Sciences · doi:10.1016/j.ins.2018.07.019 · Cited by 1
Representing Imprecise Time Intervals in OWL 2
Métais, E., Ghorbel, F., Hamdi, F., Ellouze, N., Herradi, N., & Soukane, A. (2018) · Enterp. Model. Inf. Syst. Archit. · doi:10.18417/emisa.si.hcm.11 · Cited by 1
Fuzzy QMD algorithm for mining fuzzy association rules
Wang, C.-H., Lee, W.-H., Yeh, C.-H., & Pang, C.-T. (2017) · International Conference on Critical Infrastructure Protection · doi:10.1145/3162957.3162986 · Cited by 1
Applications of computing with words in medicine: Promises and potential
Jain, A., Gupta, D., Gupta, G., & Aggarwal, S. (2017) · IEEE International Conference on Fuzzy Systems · doi:10.1109/fuzz-ieee.2017.8015480 · Cited by 1
Application of hybrid uncertainty-clustering approach in pre-processing well-logs
Masoudi, P. (2017) · doi:10.70675/593beb5fz242fz4e28z9d00z7bfbdfadb736 · Cited by 1
Measurement’s noise, filtered by a type-1 neuro-fuzzy technique in quality assurance
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Pauwels, B. (2016) · doi:10.70675/c3a62fc0z2d37z4f78z99c6z6c0aaf013d97 · Cited by 1
Evolutionary approach to violating group anonymity using third-party data
Tavrov, D., & Chertov, O. (2016) · SpringerPlus · doi:10.1186/s40064-016-1692-9 · Cited by 1
“Fuzzy sets constitute a core of linguistic variables (Zadeh 1975).”
BackgroundExistence and uniqueness of two fuzzy solutions to cooperative games
González, E., Espín, R. A., & Mazcorro, G. (2013) · doi:10.2991/.2013.8 · Cited by 1
“…expression is a consequence of Proposition 2: Predicates p(i,C) and a(i,C) correspond to the statements "player i is important to coalition C" and "player i has feasible and advantageous alternatives to reach an agreement within C". p 2 (i,C) models the linguistic modifier related to "very" [11].”
BackgroundTheoretical methods of constructing fuzzy inference relations
Yuan, X.-H., Li, H.-X., & Wang, X.-N. (2009) · doi:10.1007/s12543-009-0030-0 · Cited by 1
Real-Time Constrained Fuzzy Arithmetic
Victor, P., Vroman, A., Deschrijver, G., & Kerre, E. (2009) · IEEE transactions on fuzzy systems · doi:10.1109/tfuzz.2008.924335 · Cited by 1
The Description of Information in 4-Dimensional Pseudo-Euclidean Information Space
Shro, O. (2007) · arXiv.org · doi:10.48550/arxiv.0709.0993 · Cited by 1
“cles tendered in series ideas fuzzy sets, fuzzy logic [35,36,37] and linguistic variables [38,39].”
BackgroundMethodInfluentialSveshnikov, S., Bocharnikov, V., Uvarova, T., & Kovalchuk, P. (2024) · Serbian Journal of Management · doi:10.5937/sjm19-43418 · Cited by 1
Ranking Alternatives by an Extension to Fuzzy VIKOR
Chu, T. (2024) · International Journal of Applied Physics and Mathematics · doi:10.17706/ijapm.2024.14.4.125-134 · Cited by 1
Literature Review of various Fuzzy Rule based Systems
Varshney, A. K., & Torra, V. (2022) · arXiv.org · doi:10.48550/arxiv.2209.07175 · Cited by 1
Kruse, R., Borgelt, C., Klawonn, F., Moewes, C., Steinbrecher, M., & Held, P. (2013) · Texts in Computer Science · doi:10.1007/978-1-4471-5013-8 · Cited by 1
“(16.4) This formula represents the extension principle (Zadeh 1975a, 1975b, 1975c).”
InfluentialSelf evolving Takagi-Sugeno-Kang fuzzy neural network.
Nguyễn, N. N. (2012) · doi:10.32657/10356/50807 · Cited by 1
“NTU-School of Computer Engineering (SCE) 21 defined by Zadeh (1975) [32,43-44] with a quintuple (x, T(x), U, G, M) where x is the name of the variable; T(x) is the linguistic term set of x; U is a universe of discourse; G is a syntactic rule for generating the names of values of x; and M is a semantic rule that associ…”
BackgroundCovering based approximation - a new type approach
Mohanty, D. (2010) · Int. J. Comput. Vis. Robotics · doi:10.1504/ijcvr.2010.038079 · Cited by 1
Psychological tests from a (fuzzy-)logical point of view
Buntins, M., Buntins, K., & Eggert, F. (2015) · Quality & Quantity: International Journal of Methodology · doi:10.1007/s11135-015-0268-z
An integrated fuzzy-neuro model for evaluation of energy system of naval vessels at concept design
Cin, S., & Çelebi, U. B. (2026) · Ships and Offshore Structures · doi:10.1080/17445302.2026.2748916
SOFIS: A New Approach to Build Fuzzy Inference Systems
Gomez, I., Lopez, A., Cortes, D., Márquez-Rubio, J., & Vázquez-Guerra, R. (2026) · Electronics · doi:10.3390/electronics15204874
Chang, A., Ali, Z., Asif, M., Shah, K., & Abdeljawad, T. (2026) · Modeling Earth Systems and Environment · doi:10.1007/s40808-026-02887-5
“…et al. 2024 = (𝒮𝒮 (c) , 𝒮𝒮 (c) , ℳ (c) , ℳ (c)) , the structure of the score degree and accuracy degree is deliberated and designed by: and Definition 3 (Zadeh 1975a, b, c) The mathematical structure of the LTS is deliberated and stated by: { } where Z contained a complete finite ordered…”
Semantic fuzzy bat optimization for regional manufacturing supply chain resilience
Zhao, Z. (2026) · Discover Artificial Intelligence · doi:10.1007/s44163-026-02488-2
“Fuzzy logic can effectively handle supply chain uncertainty [19–21], but its combination with metaheuristic algorithms has mostly been conducted in simulations [22, 23], and few engineering validations have been performed under real high-frequency disruption scenarios [24, 25].”
Mannadhan, P. (2026) · Logistics · doi:10.3390/logistics10100231
“According to this method, the importance weights of various levels of criteria and the ratings of numerous alternatives under qualitative criteria are evaluated using linguistic concepts represented by TFs [45].”
A linguistic picture fuzzy number ranking method based on score function and double exact function
Jia, Y.-L., Hu, Y.-Q., Yang, Y., Hu, L.-Y., & Wang, X.-X. (2026) · Journal of Control and Decision · doi:10.1080/23307706.2026.2727471
Jin, F.-F., Chen, A.-M., & Pei, L.-D. (2026) · Applied Soft Computing · doi:10.1016/j.asoc.2026.116415
Phong, P. Đ., Van, L. M., Thông, H. V., Dư, N. Đ., & Hồ, N. C. (2026) · Intelligent Data Analysis · doi:10.1177/1088467x261458481
Gavgani, S. A. M., Lavassani, S. H. H., & Giaralis, A. (2026) · Ocean Engineering · doi:10.1016/j.oceaneng.2026.126572
Bist, B., & Kumar, S. (2026) · Applied Soft Computing · doi:10.1016/j.asoc.2026.116154
A Multi-Criteria Framework for Software Product Evaluation and Ranking Using Fuzzy d-Sets
Kadam, N., & Mittal, G. (2026) · International Journal of Mathematical Engineering and Management Sciences · doi:10.33889/ijmems.2026.11.4.061
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
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