An Intuitionistic fuzzy count and cardinality of Intuitionistic fuzzy sets

B. K. Tripathya, S. P. Jenab and S. K. Ghoshc,*

An Intuitionistic fuzzy count and cardinality of Intuitionistic fuzzy sets

Authors :

B. K. Tripathy^a, S. P. Jena^b and S. K. Ghosh^c,*

Author Address :

^aSchool of Computing Sciences and Engineering, V.I.T. University, Vellore–632014, Tamilnadu, India.
^bDepartment of Mathematics, Sailabala Women’s College, Cuttack, Odisha, India.
^cDepartment of Mathematics, Revenshaw University, Cuttack–753003, Odisha, India.

*Corresponding author.

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.

DOI :

Article Info :

Received : November 11, 2012; Accepted : July 06, 2013.