A Novel Approach to Hesitant Fuzzy Soft Set Based Decision Making
Babitha et al. defined a hybrid model called hesitant fuzzy soft sets by combining the hesitant fuzzy set with the soft set. The aim of this paper is to give deeper insights into decision making based on hesitant fuzzy soft sets. We point out that the algorithm designed by Babitha et al. based decision making is not fit to solve some decision making problems and a counterexample is given. By means of reduct fuzzy soft sets and level hesitant fuzzy soft sets, we present an adjustable approach to hesitant fuzzy soft sets based decision making and some numerical examples are provided to illustrate the developed approach.
KeywordsSoft set Hesitant fuzzy soft set Level hesitant fuzzy soft set Decision making
This work is supported by the National Natural Science Foundation of China (No. 61966032), the Fundamental Research Funds for the Central Universities of Northwest MinZu University (No. 31920170010) and the Research Project Funds for Higher Education Institutions of Gansu Province (No. 2016B-005).
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