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

• Published in: Indian journal of science and technology 2020-10, Vol.13 (37), p.3950-3959
• Main Author: Touqeer, Muhammad
• Format: Article
• Language: English
• ISSN: 0974-6846; 0974-5645
• DOI: 10.17485/IJST/v13i37.1356

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