Spherical Cubic Fuzzy Extended TOPSIS Method and Its Application in Multicriteria Decision-Making

Tehreem Tehreem,Ahmed Alsanad,Mogeeb A A Mosleh,Amjad Hussain,Naeem Jan

doi:10.1155/2021/2284051

Abstract

This paper aims to propose a new methodology for spherical cubic fuzzy (SCF) multicriteria decision-making (MCDM) utilizing the TOPSIS method that uses incomplete weight information. At first, the maximum deviation model is suggested to determine the criteria of weight values. An MCDM methodology is introduced using SCF information, based on the proposed method. Also, to validate the effectiveness of the proposed information, a numerical example is given. Finally, a comprehensive and structured analysis of existing work in comparison with previous work is given.

Highlights

MCGDM is a useful tool for selecting the most important option from a collection of alternatives in the evaluation and selection process
Many researchers presented the idea of an intuitionistic cubic fuzzy set (ICFS) [26] and its applications in decision-making
We have expanded the TOPSIS approach to take into account spherical cubic information in order to address this limitation and have used the distance measurements of SCFNs to obtain the final ranking of the alternatives

Summary

Introduction

MCGDM (multicriteria group decision-making) is a useful tool for selecting the most important option from a collection of alternatives in the evaluation and selection process. To generalize the concepts of PFS and IVPFS, Mahmood et al [15] introduced the idea of a spherical fuzzy set, in which the sum of squares of membership, neutral, and nonmembership degrees is less than or equal to one. Gundogdu and Kahraman [16] presented the application of decision-making by using the idea of spherical fuzzy sets. Kutlu Gundogdu and Kahraman [17] introduced the new idea by combining the spherical fuzzy sets with the TOPSIS method and discussed their applications. Many researchers presented the idea of an intuitionistic cubic fuzzy set (ICFS) [26] and its applications in decision-making. Naeem et al [27] developed the new idea of Pythagorean m-polar fuzzy sets with the TOPSIS method and their applications in the selection of advertisement mode.

Preliminaries

First Model max n mm

Second Model max

Illustrative Description

Conclusions