A New Inaccuracy Measure for Fuzzy Sets and its Application in Multi-Criteria Decision Making

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Author(s)

Rajkumar Verma 1,* Bhu Dev Sharma 1

1. Department of Mathematics, Jaypee Institute of Information Technology (Deemed University), Noida (U.P.), India

* Corresponding author.

DOI: https://doi.org/10.5815/ijisa.2014.05.06

Received: 20 Aug. 2013 / Revised: 12 Dec. 2013 / Accepted: 16 Jan. 2014 / Published: 8 Apr. 2014

Index Terms

Fuzzy Sets, Fuzzy Entropy, Fuzzy Inaccuracy Measure, Fuzzy Divergence Measure

Abstract

In the present paper, a new fuzzy inaccuracy measure is proposed to measure the inaccuracy of a fuzzy set with respect to another fuzzy set. This measure is a modified version of fuzzy inaccuracy proposed in our earlier work. The measure is demonstrated to satisfy some interesting properties, which prepare ground for applications in multi-criteria decision making problems. A method to solve multi-criteria decision making problems with the help of new measure is developed. Finally, a numerical example is given to illustrate the proposed method to solve multi-criteria decision-making problem under fuzzy environment.

Cite This Paper

Rajkumar Verma, Bhu Dev Sharma, "A New Inaccuracy Measure for Fuzzy Sets and its Application in Multi-Criteria Decision Making", International Journal of Intelligent Systems and Applications(IJISA), vol.6, no.5, pp.62-69, 2014. DOI:10.5815/ijisa.2014.05.06

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