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
Highlights
Many problems of real life are not certain which cannot be solved used typical Mathematical rules involving methods based on precise reasoning
In our work we extend the idea of grey relational analysis by constructing an algorithms that is composed of grey relational analysis and AND operation for intuitionistic fuzzy soft set and interval-valued intuitionistic fuzzy soft set
We have dealt with one of the ambiguous situations arising in solving a problem from the class of organized complexity by making use of grey relational analysis technique
Summary
Many problems of real life are not certain which cannot be solved used typical Mathematical rules involving methods based on precise reasoning. Decision making techniques involve “choice values” technique or “score values” technique for ranking of alternatives which often don’t result in same preference order To overcome this kind of situation, grey relational analysis method by[21] is used to get on a final decision. To capture the uncertainty more effectively[24] introduced a technique that takes into consideration the left and right area of the three types of membership involved in three trapezoidal fuzzy numbers In this Paper, we have developed an algorithm using grey relational analysis and “AND” operation for decision making problems. We often come across situations where we get different optimal choices while using different techniques, like choice value technique and score value technique To overcome this greyness we use grey relational analysis to get on an optimal solution. In our work we extend the idea of grey relational analysis by constructing an algorithms that is composed of grey relational analysis and AND operation for intuitionistic fuzzy soft set and interval-valued intuitionistic fuzzy soft set
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