Issue:Multi-parameter temporal intuitionistic fuzzy sets

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Title of paper: Multi-parameter temporal intuitionistic fuzzy sets Author(s): Rangasamy Parvathi Department of Mathematics, Vellalar College for Women, Erode-638 012, Tamil Nadu, India paarvathis@rediffmail.com C. Radhamani Kongu Arts and Science College, Erode-638 107, Tamil Nadu, India palaniradhu@yahoo.co.in Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 22 (2016) Number 1, pages 35-47 Download:  PDF (264  Kb, File info) Abstract: Fuzzy sets and intuitionistic fuzzy sets handle uncertainty and vagueness which Cantorian sets could not handle. Temporal intuitionistic fuzzy set with a time domain is an extension of intuitionistic fuzzy set and is useful in dealing with uncertainty and vagueness present in the time dependent real environment. In this paper, a new type of intuitionistic fuzzy set called multiparameter temporal intuitionistic fuzzy set is proposed and it’s operations are defined. Further, extended triangular membership and non-membership functions for temporal intuitionistic fuzzy sets and multi-parameter temporal intuitionistic fuzzy sets are defined. Geometric interpretation of a temporal intuitionistic fuzzy set is also dealt with a suitable example. Keywords: Temporal intuitionistic fuzzy sets, Multi-parameter temporal intuitionistic fuzzy sets, Extended triangular intuitionistic fuzzification functions. AMS Classification: 11D79, 11H06. References: Atanassov, K. T. (1983) Intuitionistic fuzzy sets, VII ITKR’s Session, Sofia. Atanassov, K. T. (1986) Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, 87-96. Atanassov, K. T. (1999) Intuitionistic fuzzy sets: Theory and Applications, Physica-Verlag, Heidelberg. Atanassov, K. T. (2012) On Intuitionistic fuzzy sets theory, Springer, Berlin, Heidelberg. Atanassov, K. T., E. Szmidt & J. Kacprzyk. (2008) On intuitionistic fuzzy multi-dimensional sets, Issues in Intuitionistic Fuzzy Sets and Generalized Nets, 7, 1-6. Atanassov, K. T. , E. Szmidt, J. Kacprzyk & P. Rangasamy. (2008) On intuitionistic fuzzy multi-dimensional sets. Part 2. In: Advances in Fuzzy Sets, Intuitionistic Fuzzy Sets, Generalized Nets and Related Topics.Vol.I: Foundations, Academic Publishing House EXIT, Warsaw, 43-51. K.T. Atanassov, E. Szmidt & J. Kacprzyk. (2010) On intuitionistic fuzzy multi-dimensional sets. Part 3. In: Developments in Fuzzy Sets, Intuitionistic Fuzzy Sets, Generalized Nets and Related Topics, Vol. I: Foundations, Warsaw, SRI Polish Academy of Sciences, 19-26. Atanassov, K. T., E. Szmidt & J. Kacprzyk. (2011) On intuitionistic fuzzy multi-dimensional sets. Part 4. Notes on Intuitionistic Fuzzy Sets, 17(2), 1-7. Dubois, D. & H.Prade. (1980) Fuzzy sets and systems:Theory and Applications, Academic Press, New York. Pedrycz, W. (1994) Why triangular membership functions?, Fuzzy Sets and Systems, 64, 21-30. Shaw, A. K. & T. K. Roy. (2012) Some arithmetic operations on triangular intuitionistic fuzzy number and its application on reliability evaluation, International Journal of Fuzzy Mathematics and Systems, 2(4) , 363-382. Zadeh, L. A. (1965). Fuzzy sets, Information and Control, 8, 338-353. Citations: Issue:Fuzzification functions for temporal intuitionistic fuzzy sets ‎ (← links) Issue:Morphological operations on temporal intuitionistic fuzzy sets ‎ (← links) The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.