An extension of grey relational analysis for intuitionistic and interval-valued intuitionistic fuzzy soft sets

Muhammad Touqeer; M Nauman Saeed; Nadeem Salamat; Muhammad Mustahsan

doi:10.17485/IJST/v13i37.1356

Article

An extension of grey relational analysis for intuitionistic and interval-valued intuitionistic fuzzy soft sets

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Indian Journal of Science and Technology

DOI: 10.17485/IJST/v13i37.1356

Year: 2020, Volume: 13, Issue: 37, Pages: 3950-3959

Original Article

An extension of grey relational analysis for intuitionistic and interval-valued intuitionistic fuzzy soft sets

Muhammad Touqeer^1*, M Nauman Saeed¹, Nadeem Salamat²,Muhammad Mustahsan³

¹Basic Sciences Department, University of Engineering and Technology, Taxila, Pakistan
²Khwaja Fareed University of Engineering and Information Technology, RYK, Pakistan
³Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur, Pakistan

*Corresponding Author
Email: [email protected]

Received Date:27 August 2020, Accepted Date:24 September 2020, Published Date:21 October 2020

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

Objectives: Neither any analytical (or numerical) nor any statistical approach is often helpful in these situations due to the reason that every person has his/her own choice. To cope with such situations usually we have to use fuzzy sets in combination with soft sets, which consist of predicates and approximate value sets as their images. Material: Choice values and comparison table techniques are two common decision-making techniques, which often don’t result in same preference order or optimal choice. To overcome this kind of situation in decision-making problems, grey relational analysis method is used to get on a final decision. Method: Here we have used grey relational analysis method involving “intuitionistic fuzzy soft set” and “interval-valued intuitionistic fuzzy soft set” and “AND operation” to deal with such kind of problems. Findings: The proposed method is effective in seeking on an optimal choice in the case when common decision-making techniques fail to get on a final decision. Novelty: By using grey relational analysis, a suitable method to choose one object from different choices has been proposed. It overcome the greyness in decisionmaking problems for getting on a final decision when one gets too many options and finds it difficult to choose an optimal choice.

Keywords: Fuzzy soft set; intuitionistic fuzzy soft set; grey relational analysis; interval-valued intuitionistic fuzzy soft set

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© 2020 Touqeer et al.This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee).