An Intuitionistic fuzzy count and cardinality of Intuitionistic fuzzy sets

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DOI:

https://doi.org/10.26637/mjm104/014

Abstract

The notion of Intuitonistic fuzzy sets was introduced by Atanassov [1] as an extension of the concept of fuzzy sets introduced by Zadeh such that it is applicable to more real life situations. In order to measure the cardinality of fuzzy sets several attempts have been made [4,6,8]. However, there are no such measures for intuitionistic fuzzy sets. In this paper we define the sigma count and relative sigma count for intuitionistic fuzzy sets and establish their properties. Also, we illustrate the genration of quantification rules.

Keywords:

Fuzzy set, Intuitionistic Fuzzy set, Intuitionistic fuzzy count, Relative Intuitionistic fuzzy count

Mathematics Subject Classification:

57E05
  • Pages: 123-133
  • Date Published: 01-10-2013
  • Vol. 1 No. 04 (2013): Malaya Journal of Matematik (MJM)

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Klir G.J. and Yuan B., Fuzzy sets and fuzzy logic, theory and applications, Prentice - Hall of India, (1997).

Tripathy B. K., Jena S. P. and Ghosh S. K., A bag theoretic fuzzy count and cardinality of fuzzy sets, communicated to International Journal of Uncertain Systems.

Zadeh L. A., Fuzzy sets, Information and Control, 8 (1965), 338-353. DOI: https://doi.org/10.1016/S0019-9958(65)90241-X

Zadeh L. A., Probability mesures of fuzzy events, Journal of Mathematical Analysis and Applications, 23(1968), 421-427. DOI: https://doi.org/10.1016/0022-247X(68)90078-4

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Published

01-10-2013

How to Cite

B. K. Tripathy, S. P. Jena, and S. K. Ghosh. “An Intuitionistic Fuzzy Count and Cardinality of Intuitionistic Fuzzy Sets”. Malaya Journal of Matematik, vol. 1, no. 04, Oct. 2013, pp. 123-3, doi:10.26637/mjm104/014.

Issue

Vol. 1 No. 04 (2013): Malaya Journal of Matematik (MJM)

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Articles

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Copyright (c) 2013 MJM

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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