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Decision Making by Using Intuitionistic Fuzzy Rough Set

Decision Making by Using Intuitionistic Fuzzy Rough Set

T. K. Das
Copyright: © 2017 |Pages: 19
ISBN13: 9781522509141|ISBN10: 1522509143|EISBN13: 9781522509158
DOI: 10.4018/978-1-5225-0914-1.ch012
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MLA

Das, T. K. "Decision Making by Using Intuitionistic Fuzzy Rough Set." Emerging Research on Applied Fuzzy Sets and Intuitionistic Fuzzy Matrices, edited by Amal Kumar Adak, et al., IGI Global, 2017, pp. 268-286. https://doi.org/10.4018/978-1-5225-0914-1.ch012

APA

Das, T. K. (2017). Decision Making by Using Intuitionistic Fuzzy Rough Set. In A. Adak, D. Manna, & M. Bhowmik (Eds.), Emerging Research on Applied Fuzzy Sets and Intuitionistic Fuzzy Matrices (pp. 268-286). IGI Global. https://doi.org/10.4018/978-1-5225-0914-1.ch012

Chicago

Das, T. K. "Decision Making by Using Intuitionistic Fuzzy Rough Set." In Emerging Research on Applied Fuzzy Sets and Intuitionistic Fuzzy Matrices, edited by Amal Kumar Adak, Debashree Manna, and Monoranjan Bhowmik, 268-286. Hershey, PA: IGI Global, 2017. https://doi.org/10.4018/978-1-5225-0914-1.ch012

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Abstract

This chapter begins with a brief introduction of the theory of rough set. Rough set is an intelligent technique for handling uncertainty aspect in the data. This theory has been hybridized by combining with many other mathematical theories. In recent years, much decision making on rough set theory has been extended by embedding the ideas of fuzzy sets, intuitionistic fuzzy sets and soft sets. In this chapter, the notions of fuzzy rough set and intuitionistic fuzzy rough (IFR) sets are defined, and its properties are studied. Thereafter rough set on two universal sets has been studied. In addition, intuitionistic fuzzy rough set on two universal sets has been extensively studied. Furthermore, we would like to give an application, which shows that intuitionistic fuzzy rough set on two universal sets can be successfully applied to decision making problems.

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