### Journals Information

Mathematics and Statistics Vol. 9(5), pp. 711 - 717
DOI: 10.13189/ms.2021.090510
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## On New Generalized Fuzzy Directed Divergence Measure and Its Application in Decision Making Problem

Bhagwan Dass 1,*, Vijay Prakash Tomar 2, Krishan Kumar 2, Vikas Ranga 3
1 Department of Mathematics, Govt. College Jind -126102, India
2 Department of Mathematics, DCR University of Science and Technology, Murthal-131039, India
3 Department of Mathematics, Lovely Professional University, Punjab-144411, India

ABSTRACT

The concept of fuzzy sets presented by Zadeh has conquered an enormous achievement in numerous fields. Uncertainty in real world is ubiquitous. Entropy is an important tool with uncertainty and fuzziness. In this article, we propose new measure of directed divergence on fuzzy set. The extension of the fuzzy sets and one that integrated with other theories have been applied by some researchers. To prove the validity of measure, some axioms are proved. Using the proposed measure, we generate a method about decision making criteria and give a suitable method. In this article, we describe directed divergence measure for fuzzy set. Properties of proposed measure are discussed. In the real world, the multicriteria decision making is a very practical method and has a wide range of uses. By using multicriteria decision making, we can find best choice among the given criteria. In recent years, many researchers extensively apply fuzzy directed divergence for multicriteria decision making. Also some researchers defined the application of parameterized Hesitant Fuzzy Soft Set theory in decision making. In this article, we shall investigate the multiple criteria decision making problem under fuzzy environment. Application of introduced measure is given for decision making problem. A numerical example is given for decision making problem. In a fuzzy multicriteria problem, the analysis is given by an illustration example of the new define approach regarding admission preference of a student for post graduate course of science stream.

KEYWORDS
Fuzzy Set, Divergence Measure, Directed Divergence, Decision Making

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Bhagwan Dass , Vijay Prakash Tomar , Krishan Kumar , Vikas Ranga , "On New Generalized Fuzzy Directed Divergence Measure and Its Application in Decision Making Problem," Mathematics and Statistics, Vol. 9, No. 5, pp. 711 - 717, 2021. DOI: 10.13189/ms.2021.090510.

(b). APA Format:
Bhagwan Dass , Vijay Prakash Tomar , Krishan Kumar , Vikas Ranga (2021). On New Generalized Fuzzy Directed Divergence Measure and Its Application in Decision Making Problem. Mathematics and Statistics, 9(5), 711 - 717. DOI: 10.13189/ms.2021.090510.