An Intuitionistic fuzzy count and cardinality of Intuitionistic fuzzy sets

B. K. Tripathy; S. P. Jena; S. K. Ghosh

doi: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

Authors Imprint References Funding Related Articles Downloads

B. K. Tripathy School of Computing Sciences and Engineering, V.I.T. University, Vellore–632014, Tamilnadu, India. https://orcid.org/0000-0003-3455-4549
S. P. Jena Department of Mathematics, Sailabala Women’s College, Cuttack, Odisha, India.
S. K. Ghosh Department of Mathematics, Revenshaw University, Cuttack–753003, Odisha, India.

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

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