A New Hybrid D-Numbers extended Consistent Linguistic Fuzzy Preference Relation with Enhanced DNIT model for selection of bowlers in IPL-2019

Udaykumar S. Kashid¹ , Archana U. Kashid² , Saurabh N. Mehta³ , Vineeta Basotia⁴

Section:Research Paper, Product Type: Journal-Paper
Vol.7 , Issue.3 , pp.8-22, Jun-2020

Online published on Jun 30, 2020

Copyright © Udaykumar S. Kashid, Archana U. Kashid, Saurabh N. Mehta, Vineeta Basotia . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
The selection of the best alternatives totally depends upon the weight of criteria. The precise values of the criteria weights always have an influence on selecting the best alternatives and obtaining the optimised solution. But in real life to get more accuracy in a weight of criteria is always an open issue. In this research work to obtain precise weight of criteria, we have proposed new hybrid D-Numbers extended Consistent Linguistic Fuzzy Preference Relation with Enhanced D-Numbers Integral Theorem (HD-CLFPR with E-DNIT) as a mathematical model by removing the major drawback of existing D-Numbers Integral Theorem (DNIT) and enhanced it as E-DNIT. Thus, we have combined three different mathematical concepts (MCDM + Fuzzy set theory + D Numbers theory) to strengthen the capability of each other?s under fuzzy situation to avoid vagueness and abandon of incomplete information data. The main objective of this paper is in three phases: In first phase, we have developed new E-DNIT formula to allocate incomplete information data to complete information data under uncertain situation. In second phase, we have developed ?HD-CLFPR with E-DNIT? mathematical model to obtain the precise weight of selected four criteria. In third phase, for the validation, the proposed model has been implemented by using ?TOPSIS? method to select the best alternatives strategy for the ranking of bowlers in Indian premier league (IPL) 2019.

Key-Words / Index Term :
Fuzzy Preference Relations; MCDM; Decision Theory; D-Numbers Theory; ?HD-CLFPR with E-DNIT

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