4.7 Article

An adjustable approach to intuitionistic fuzzy soft sets based decision making

Journal

APPLIED MATHEMATICAL MODELLING
Volume 35, Issue 2, Pages 824-836

Publisher

ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2010.07.038

Keywords

Soft sets; Fuzzy soft sets; Intuitionistic fuzzy soft sets; Decision making

Funding

  1. National Natural Science Foundation of China [60663001, 60673135, 60970044, 60736020]
  2. Foundation of the State Key Laboratory of Computer Science of Chinese Academy of Sciences [SYSKF0904]
  3. Natural Science Foundation of Guangxi Province of China [0991100, 0832103]
  4. Science Research and Technology Development Project of Guangdong Province of China [2009B090300326, 2009B010800036]

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Molodtsov initiated the concept of soft set theory, which can be used as a generic mathematical tool for dealing with uncertainty. There has been some progress concerning practical applications of soft set theory, especially the use of soft sets in decision making. In this paper we generalize the adjustable approach to fuzzy soft sets based decision making. Concretely. we present an adjustable approach to intuitionistic fuzzy soft sets based decision making by using level soft sets of intuitionistic fuzzy soft sets and give some illustrative examples. The properties of level soft sets are presented and discussed. Moreover, we also introduce the weighted intuitionistic fuzzy soft sets and investigate its application to decision making. (C) 2010 Elsevier Inc. All rights reserved.

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