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Operations on temporal intuitionistic fuzzy sets
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In this paper, theory of temporal intuitionistic fuzzy sets (TIFSs) is developed. Geometric interpretation of TIFSs is given. A few basic operations and normalization on TIFSs are defined and a few of their properties are analysed. Also, the five types of cartesian products of TIFSs are defined and the properties of TIFS based on these definitions are discussed.
Abstract
In this paper, theory of temporal intuitionistic fuzzy sets (TIFSs) is developed. Geometric interpretation of TIFSs is given. A few basic operations and normalization on TIFSs are defined and a few of their properties are analysed. Also, the five types of cartesian products of TIFSs are defined and the properties of TIFS based on these definitions are discussed.
참고문헌 (10)
- L. A. Zadeh, "Fuzzy sets", Information and Control, 8, pp.338~353 (1965)
- K. T. Atanassov, "VII ITKR's Session" (1983), Soa
- K. T. Atanassov, "Intuitionistic fuzzy sets: Theory and Applications" (1999), Physica-Verlag
- D. Molodtsov, "Soft set theory:First results", Comput. Math. Appl, 37(4-5), pp.19~31 (1999)
- G. Senel, "Soft Topology Generated by L-Soft Sets", Journal of New Theory, 4(24), pp.88~100 (2018)
- G. Senel, "A New Approach to Hausdor Space Theory via the Soft Sets", Mathematical Prob-lems in Engineering, 9, pp.1~6 (2016)
- G. Senel, "Soft topological subspaces", Ann. Fuzzy Math. Inform, 10(4), pp.525~535 (2015)
- G. Senel, "Soft Closed Sets on Soft Bitopological Space", Journal of New Results in Science, 3(5), pp.57~66 (2014)
- G. Senel, "Distance and Similarity Measures for Octahedron Sets and Their Application to MCGDM Problems", Mathematics, 8, pp.1690~ (2020)
- K. T. Atanassov, "On Intuitionistic fuzzy sets theory" (2012), Springer
관련 논문AI추천
Temporal intuitionistic fuzzy pairsKrassimir Atanassov, Vassia Atanassova장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2021 · 제24권 제3호On intuitionistic fuzzy sets and interval valued intuitionistic fuzzy setsK. T. Atanassov, P. Rangasam장전수학회 · Advanced Studies in Contemporary Mathematics2009 · 제18권 제1호Some new results on intuitionistic fuzzy setsBhuDev Sharma, Rajkumar Verma장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2013 · 제16권 제1호On the two most extended modal types of operators defined over interval-valued intuitionistic fuzzy setsKrassimir Atanassov기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2018 · 제16권 제1호New topological operators over intuitionistic fuzzy setsK. T. Atanassov, P. Rangasamy, P. V. Vassilev장전수학회 · Advanced Studies in Contemporary Mathematics2009 · 제18권 제1호Intuitionistic fuzzy sets and interval valued intuitionistic fuzzy setsKrassimir Atanassov장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제2호
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