Interval Valued Intuitionistic Triangular Hesitant Fuzzy Focal Elements And Their Corresponding Basic Probability Assignments Using Four New Operators
Authors :
R. Irene Hepzibaha, A. Nagoorganib and G. Geethalakshmic,*
Author Address :
aDepartment of Mathematics, AVC College of Engineering, Mayiladuthurai, Tamil Nadu, India.
bPG & Research Department of Mathematics, Jamal Mohamed College (Autonomous), Trichy-20, Tamil Nadu, India .
cDepartment of Mathematics, K.S.K College of Engineering and Technology, Kumbakonam, Tamil Nadu, India.
*Corresponding author.
Abstract :
Hesitant fuzzy sets, permitting the membership of an element to be a set of several possible values can be used as an efficient mathematical tool for modeling peoples hesitancy in day to day life. The aim of this paper is to present the notion of interval-valued intuitionistic hesitant fuzzy set, which extends the hesitant fuzzy set to interval valued intuitionistic fuzzy environments and permits the membership of an element to be a set of several possible interval-valued intuitionistic fuzzy numbers and its application in Evidence Theory. In this paper, the Interval Valued Intuitionistic Hesitant Fuzzy Focal Elements (IVIHFFE) is extended to Interval Valued Intuitionistic Triangular Hesitant Fuzzy Focal Elements (IVITHFFE) and their corresponding Basic Probability Assignments (BPA) in Evidence theory. A series of aggregation operators for Interval Valued Intuitionistic Triangular Hesitant Fuzzy Focal Elements (IVITHFFE) are developed and the results with Interval Valued Intuitionistic Hesitant Fuzzy Focal Elements (IVIHFFE) are compared in this research work. Finally, a numerical example is provided to illustrate the application of the developed approach.
Keywords :
Interval Valued Intuitionistic Hesitant Fuzzy Focal Elements (IVIHFFE), Interval Valued Intuitionistic Triangular Hesitant Fuzzy Focal Elements (IVITHFFE), Modified operators, Basic Probability Ass
DOI :
Article Info :
Received : July 10, 2015; Accepted : September 13, 2015.
