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Issue:On statistical concepts of intuitionistic fuzzy soft set theory via utility

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Title of paper: On statistical concepts of intuitionistic fuzzy soft set theory via utility
Author(s):
Santanu Acharjee
Economics and Computational Rationality Group, Department of Mathematics, Debraj Roy College, Golaghat-785621, Assam, India
sacharjee326@gmail.com , santanuacharjee@rediffmail.com
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 25 (2019), Number 1, pages 64–78
DOI: https://doi.org/10.7546/nifs.2019.25.1.64-78
Download:  PDF (248  Kb, Info)
Abstract: In this paper, we establish the foundation of intuitionistic fuzzy soft statistics with the help of utility theory of mathematical economics. We use ideas of (α,β)-cut with respect to utility theory to prove results related to intuitionistic fuzzy soft mean, intutionistic fuzzy soft covariance, intuitionistic fuzzy soft attribute correlation coefficients, etc. Suitable examples are provided in each case. Concepts of utility-wise representation of intuitionistic fuzzy soft have been discussed. Here, we also discuss the generating process of a new intuitonistic fuzzy soft set from the old one with respect to utility theory and prove some important theorems.
Keywords: IFS, IFSS, Statistics, Soft set, Utility theory.
AMS Classification: 03E72, 03E99, 62A86, 62A99, 91B16, 91D99.
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