Title: Weight computation of criteria in a decision-making problem by entropy measure under interval-valued fuzzy environment

Authors: Satyajit Das; Amrita De

Addresses: Department of Mathematics, Adamas University, Kolkata-700126, India ' Department of Mathematics, Adamas University, Kolkata-700126, India

Abstract: In general, the weights of criteria play an important role in decision-making scenarios. Criteria are conflicting in nature and how to measure the weights of these criteria is an interesting research issue. This work proposes an objective weight generation method for determining the importance of criteria in a real-life multi-criteria decision-making problem where information are expressed as interval-valued fuzzy sets. We use entropy measure as a tool to determine criteria weights because entropy measure is a significant measure in information science. We develop a weight computation method on the basis of entropy measure to determine the criteria weights. Here we consider the information related to criteria weights which are completely unknown and partly known. To illustrate the proposed weight determination method a real-life example is presented. Finally, a comparative study is carried out to validate the result.

Keywords: interval-valued fuzzy set; intuitionistic fuzzy set; multi-criteria decision-making problem; positive ideal solution; negative ideal solution; entropy.

DOI: 10.1504/IJMOR.2023.129442

International Journal of Mathematics in Operational Research, 2023 Vol.24 No.2, pp.194 - 209

Received: 16 Aug 2021
Accepted: 25 Nov 2021
Published online: 09 Mar 2023 *

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