# An Intuitionistic Fuzzy Soft Set Theoretic Approach to Decision Making Problems

## Authors

• Shiva Raj Singh Department of Mathematics Institute of Science Banaras Hindu University
• Surendra Singh Gautam Banaras Hindu University Varanasi
• Abhishekh . Banaras Hindu University Varanasi

## Abstract

In general most of real life problem of decision making involve imprecise parameters. In recent past the major emphasis of research workers in this area have been to develop the reliable models to deal with such imprecision and vagueness effectively. Several theories have been developed such as fuzzy set theory, interval valued fuzzy set, intuitionistic fuzzy set, and interval valued intuitionistic fuzzy set, rough set and soft set. The primary objectives of all the above developed theories are to deal with various kinds of uncertainty, imprecision and vagueness but unfortunately every theory has certain limitations. In the present paper we briefly introduced the notion of soft set, fuzzy soft set and intuitionistic fuzzy soft set. We extend the Jurio et al construction method of converting fuzzy set into intuitionistic fuzzy set to fuzzy soft set into intuitionistic fuzzy soft set. Here we consider a problem of decision making in fuzzy soft set and presented a method to generalize it into intuitionistic fuzzy soft set based decision making problem for modelling the problem in a better way. In the process we used the construction method and score function of intuitionistic fuzzy number.

## Author Biographies

### Shiva Raj Singh, Department of Mathematics Institute of Science Banaras Hindu University

Department of mathematics

Professor

### Surendra Singh Gautam, Banaras Hindu University Varanasi

department of Mathematics

institute of Science

Research Scholar

### Abhishekh ., Banaras Hindu University Varanasi

Department of Mathematics

Institute of Science

Research Scholar

2018-05-28

## How to Cite

Singh, S. R., Gautam, S. S., & ., A. (2018). An Intuitionistic Fuzzy Soft Set Theoretic Approach to Decision Making Problems. MATEMATIKA: Malaysian Journal of Industrial and Applied Mathematics, 34(1), 49–58. https://doi.org/10.11113/matematika.v34.n1.890

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