Abstract

We introduce notions of soft rough m-polar fuzzy sets and m-polar fuzzy soft rough sets as novel hybrid models for soft computing, and investigate some of their fundamental properties. We discuss the relationship between m-polar fuzzy soft rough approximation operators and crisp soft rough approximation operators. We also present applications of m-polar fuzzy soft rough sets to decision-making.

Highlights

  • The notion of bipolar fuzzy sets was generalized to m-polar fuzzy sets by Chen et al [1] in 2014.Chen et al [1] proved that bipolar fuzzy sets and 2-polar fuzzy sets are cryptomorphic mathematical tools

  • In many real life complicated problems, data sometimes comes from n agents (n ≥ 2), that is, multipolar information exists

  • We prove that the mF soft rough approximation operators can be described by crisp soft rough approximation operators

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Summary

Introduction

The notion of bipolar fuzzy sets was generalized to m-polar fuzzy sets by Chen et al [1] in 2014. In 1982, Pawlak [7] introduced the idea of rough set theory, which is an important mathematical tool to handle imprecise, vague and incomplete information. Alcantud and Santos-Garcia [20,21] produced a completely new approach to soft set based decision-making problems when information is incomplete. They proposed and compared an algorithmic solution with previous approaches in the literature in [20]. The idea of m-polar fuzzy soft rough sets can be utilized to solve different real-life problems. We present a new method to decision-making based on m-polar fuzzy soft rough sets

Soft Rough m-Polar Fuzzy Sets
Selection of a Hotel
Selection of a Place
Selection of a House
Conclusions
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