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Open AccessArticle

A Method for Fuzzy Soft Sets in Decision-Making Based on an Ideal Solution

by 1,2, 1,* and 2
1
College of Mathematics, Southwest Jiaotong University, Chengdu 610031, China
2
Center for Radio Administration & Technology Development, Xihua University, Chengdu 610039, China
*
Author to whom correspondence should be addressed.
Symmetry 2017, 9(10), 246; https://doi.org/10.3390/sym9100246
Received: 25 September 2017 / Revised: 17 October 2017 / Accepted: 18 October 2017 / Published: 23 October 2017
(This article belongs to the Special Issue Fuzzy Techniques for Decision Making)
In this paper, a decision model based on a fuzzy soft set and ideal solution approaches is proposed. This new decision-making method uses the divide-and-conquer algorithm, and it is different from the existing algorithm (the choice value based approach and the comparison score based approach). The ideal solution is generated according to each attribute (pros or cons of the attributes, with or without constraints) of the fuzzy soft sets. Finally, the weighted Hamming distance is used to compute all possible alternatives and get the final result. The core of the decision process is the design phase, the existing decision models based on soft sets mostly neglect the analysis of attributes and decision objectives. This algorithm emphasizes the correct expression of the purpose of the decision maker and the analysis of attributes, as well as the explicit decision function. Additionally, this paper shows the fact that the rank reversal phenomenon occurs in the comparison score algorithm, and an example is provided to illustrate the rank reversal phenomenon. Experiments indicate that the decision model proposed in this paper is efficient and will be useful for practical problems. In addition, as a general model, it can be extended to a wider range of fields, such as classifications, optimization problems, etc. View Full-Text
Keywords: fuzzy sets; soft sets; fuzzy soft sets; decision making; rank reversal; ideal solution fuzzy sets; soft sets; fuzzy soft sets; decision making; rank reversal; ideal solution
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MDPI and ACS Style

Liu, Z.; Qin, K.; Pei, Z. A Method for Fuzzy Soft Sets in Decision-Making Based on an Ideal Solution. Symmetry 2017, 9, 246.

AMA Style

Liu Z, Qin K, Pei Z. A Method for Fuzzy Soft Sets in Decision-Making Based on an Ideal Solution. Symmetry. 2017; 9(10):246.

Chicago/Turabian Style

Liu, Zhicai; Qin, Keyun; Pei, Zheng. 2017. "A Method for Fuzzy Soft Sets in Decision-Making Based on an Ideal Solution" Symmetry 9, no. 10: 246.

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