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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.

Soft set theory was initiated by the Russian researcher Molodtsov [

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 intuitionistic fuzzy soft matrices. In order to make this, addition, subtraction, and the complement of an intuitionistic fuzzy soft matrix (IFSM) are applied. The result is obtained based on the maximum value in the score matrix. An attempt has been made to provide a formal model of the process to study the selection of professional students by using IFSM theory and implement it in the form of field recommendation system. This is the system by which the recruiters use their knowledge to infer the selection from the skills displayed by the test results of the students and based on their selection criteria. A new technique called intuitionistic fuzzy revised max-min average composition method is proposed. Through a case study, it is seen that the proposed method produces better results than the existing max-min composition method [

The basic definitions of intuitionistic fuzzy soft set theory that are useful for subsequent discussions are given.

Suppose that

Let

Let

Let

Let

Suppose that

If

Let

If

If

Consider that

If

In this section an application of intuitionistic fuzzy soft set theory using max-min average composition method for decision making is presented.

In a given set of systems, let

Now construct an intuitionistic fuzzy soft set

Then construct another intuitionistic fuzzy soft set

Using Definition

Using Definitions

Finally find the maximum value for each student

Input the intuitionistic fuzzy soft sets

Using Definition

Using Definition

Compute the matrices

Identify the maximum score in

Consider

Suppose that IFSS

This intuitionistic fuzzy soft set is represented by the following intuitionistic fuzzy soft matrix:

It is clear from the above result that the interviewer agrees that the max values of Arun

Using Definition

Compared with conventional techniques, the proposed approach in decision making effectively reduces the conflict in making decisions. For example, the maximum score in the second row of the score matrix

The authors declare that there is no conflict of interests regarding the publication of this paper.