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# Revised Max-Min Average Composition Method for Decision Making Using Intuitionistic Fuzzy Soft Matrix Theory

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Abstract:

In this paper a revised Intuitionistic Fuzzy Max-Min Average Composition Method is proposed to construct the decision method for the selection of the professional students based on their skills by the recruiters using the operations of Intuitionistic Fuzzy Soft Matrices. In Shanmugasundaram et al. (2014), Intuitionistic Fuzzy Max-Min Average Composition Method was introduced and applied in Medical diagnosis problem. Sanchez’s approach (Sanchez (1979)) for decision making is studied and the concept is modified for the application of Intuitionistic fuzzy soft set theory. Through a survey, the opportunities and selection of the students with the help of Intuitionistic fuzzy soft matrix operations along with Intuitionistic fuzzy max-min average composition method is discussed. 1. Introduction Soft set theory was initiated by the Russian researcher Molodtsov [1]; he proposed soft set as a completely generic mathematical tool for modeling uncertainties. Maji et al. [2, 3] applied this theory to several directions for dealing with the problems in uncertainty and imprecision. Pei and Miao [4] and Chen et al. [5] improved the work of Maji et al. [3]. Yang and Ji [6] initiated a matrix representation of a fuzzy soft set and applied it in decision making problems. Borah et al. [7] and Neog and Sut [8] extended fuzzy soft matrix theory and its application. Chetia and Das [9–11] proposed intuitionistic fuzzy soft matrix theory. Rajarajeswari and Dhanalakshmi [12–14] proposed new definitions for intuitionistic fuzzy soft matrices. In real life most of the existing mathematical tools for formal modeling, reasoning, and computing are crisp, deterministic, and precise in nature. The classical crisp mathematical tools are not capable of dealing with the problems involving uncertainty and imprecision. There are many mathematical tools available for modeling complex systems such as probability theory, fuzzy set theory, and interval mathematics. Probability theory is applicable only for a stochastically stable system. Interval mathematics is not sufficiently adaptable for problems withdifferent uncertainties. Setting the membership function value is always a problem in fuzzy set theory. Intuitionistic fuzzy soft set theory (IFSS) may be more applicable to deal with uncertainty and imprecision; the parameterization tool using fuzzy soft set theory enhances the flexibility of its applications. Initially, intuitionistic fuzzy max-min average composition method is used. In this paper, a new approach is proposed to construct the decision method for student selection using

References

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