An adjustable approach to fuzzy soft set based decision making

  • Authors:

  • Feng Feng;Young Bae Jun;Xiaoyan Liu;Lifeng Li

  • Affiliations:

  • College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, PR China and Department of Applied Mathematics and Applied Physics, Xi'an Institute of Posts and Telecommun ...;Department of Mathematics Education (and RINS), Gyeongsang National University, Chinju 660-701, Republic of Korea;Department of Applied Mathematics and Applied Physics, Xi'an Institute of Posts and Telecommunications, Xi'an 710061, PR China;Department of Applied Mathematics and Applied Physics, Xi'an Institute of Posts and Telecommunications, Xi'an 710061, PR China

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2010

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Abstract

Molodtsov's soft set theory was originally proposed as a general mathematical tool for dealing with uncertainty. Recently, decision making based on (fuzzy) soft sets has found paramount importance. This paper aims to give deeper insights into decision making based on fuzzy soft sets. We discuss the validity of the Roy-Maji method and show its true limitations. We point out that the choice value designed for the crisp case is no longer fit to solve decision making problems involving fuzzy soft sets. By means of level soft sets, we present an adjustable approach to fuzzy soft set based decision making and give some illustrative examples. Moreover, the weighted fuzzy soft set is introduced and its application to decision making is also investigated.