The DOI matches its Crossref record; 21 of the 21 references it cites were found in a registry or an index.
Generalized Pythagorean Fuzzy Geometric Aggregation Operators Using Einstein t-Norm and t-Conorm for Multicriteria Decision-Making Process
Open accessAbstract
The objective of this paper is to present some series of geometric-aggregated operators under Pythagorean fuzzy environment by relaxing the condition that the sum of the degree of membership functions is less than one with the square sum of the degree of membership functions is less than one. Under these environments, aggregator operators, namely, Pythagorean fuzzy Einstein weighted geometric, Pythagorean fuzzy Einstein ordered weighted geometric, generalized Pythagorean fuzzy Einstein weighted geometric, and generalized Pythagorean fuzzy Einstein ordered weighted geometric operators, are proposed in this paper. Some of its properties have also been investigated in details. Finally, an illustrative example for multicriteria decision-making problems of alternatives is taken to demonstrate the effectiveness of the approach.
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Cites
Zadeh, L. A. (1965) · Information and Control · doi:10.1016/s0019-9958(65)90241-x · Cited by 67,855
Atanassov, K. T. (1986) · Fuzzy Sets and Systems · doi:10.1016/s0165-0114(86)80034-3 · Cited by 16,465
Decision-Making in a Fuzzy Environment
Bellman, R. E., & Zadeh, L. A. (1970) · Management Science · doi:10.1287/mnsc.17.4.b141 · Cited by 6,813
Pythagorean Membership Grades in Multicriteria Decision Making
Yager, R. R. (2014) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2013.2278989 · Cited by 2,847
Yager, R. R. (2013) · 2013 Joint IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS) · doi:10.1109/ifsa-nafips.2013.6608375 · Cited by 2,703
Extension of TOPSIS to Multiple Criteria Decision Making with Pythagorean Fuzzy Sets
Zhang, X., & Xu, Z. (2014) · International Journal of Intelligent Systems · doi:10.1002/int.21676 · Cited by 1,506
More on intuitionistic fuzzy sets
Atanassov, K. T. (1989) · Fuzzy Sets and Systems · doi:10.1016/0165-0114(89)90215-7 · Cited by 1,490
Yager, R. R., & Abbasov, A. M. (2013) · International Journal of Intelligent Systems · doi:10.1002/int.21584 · Cited by 1,430
Some Results for Pythagorean Fuzzy Sets
Peng, X., & Yang, Y. (2015) · International Journal of Intelligent Systems · doi:10.1002/int.21738 · Cited by 862
My own book review : The Irrational Organization
Brunsson, N. (2014) · Management Science · Cited by 726
Cited by
Some Picture Fuzzy Aggregation Operators and Their Applications to Multicriteria Decision-Making
Garg, H. (2017) · Arabian Journal for Science and Engineering · doi:10.1007/s13369-017-2625-9 · Cited by 401
Self-citationA novel fuzzy TOPSIS method using emerging interval-valued spherical fuzzy sets
Kutlu Gündoğdu, F., & Kahraman, C. (2019) · Engineering Applications of Artificial Intelligence · doi:10.1016/j.engappai.2019.06.003 · Cited by 305
Liu, P., Chen, S.-M., & Wang, P. (2019) · IEEE Transactions on Systems, Man, and Cybernetics: Systems · doi:10.1109/tsmc.2018.2852948 · Cited by 265
A new approach to q-linear Diophantine fuzzy emergency decision support system for COVID19
Almagrabi, A. O., Abdullah, S., Shams, M., Al-Otaibi, Y. D., & Ashraf, S. (2022) · Journal of Ambient Intelligence and Humanized Computing · doi:10.1007/s12652-021-03130-y · Cited by 114
Metadata
- Authors
- Garg, H.
- Venue
- International Journal of Intelligent Systems
- Publisher
- Hindawi Limited
- Published
- 2016-11-18
- Volume
- 32
- Issue
- 6
- Pages
- 597-630
- ISSN
- 0884-8173 (ISSN-L)
- OpenAlex
- W2549733045
- Cited by
- 366
- References
- 21
- FWCI
- 50.36
- Type
- journal article
- Language
- en
- Open access
- bronze
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