Interval-valued picture fuzzy hypersoft TOPSIS method based on correlation coefficient

Volume 27, Issue 2, pp 142--163 http://dx.doi.org/10.22436/jmcs.027.02.05

Publication Date: April 13, 2022 Submission Date: January 16, 2022 Revision Date: January 27, 2022 Accteptance Date: February 09, 2022

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Authors

A. Bobin - Department of Mathematics, Saveetha Engineering College (Autonomous), Chennai, 602105, India. P. Thangaraja - Department of Mathematics, Mahendra Engineering College (Autonomous), Namakkal, 637 503, India. E. Prabu - Department of Mathematics, Erode Arts and Science college, Erode, 638 009, India. V. Chinnadurai - Department of Mathematics, Annamalai University, Chidambaram, 608002, India.

Abstract

In multi-criteria decision-making problems, we may have to deal with numbers that are in interval forms, like those of positive, negative, and neutral grades representing different attributes of elements. When decision-makers come across such an environment, the decisions are harder to make and the most significant factor is that we need to combine these interval numbers to generate a single real number, which can be done using aggregation operators or score functions. To overcome this hindrance, we introduce the notion of interval-valued picture fuzzy hypersoft set. This eventually helps the decision-maker to collect the data without any misconceptions. We present some properties of the correlation coefficient and aggregation operators on it. Also, we propose an algorithm for the technique of order of preference by similarity to ideal solution (TOPSIS) method based on correlation coefficients to choose a suitable employee among the available alternative using Leipzig leadership model in an organization for an upcoming new project. Finally, we present a comparative study with existing similarity measures to show the effectiveness of the proposed method.

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Keywords

• Picture fuzzy set
• intuitionistic set
• hypersoft set

MSC

•  03E72
•  03F55

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