A new efficient decision making algorithm based on interval-valued fuzzy soft set
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A new efficient decision making algorithm based on interval-valued fuzzy soft set Xiuqin Ma 1
&
Qinghua Fei 1 & Hongwu Qin 1 & Huifang Li 1 & Wanghu Chen 1
# Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract Interval-valued fuzzy soft set is an extended model of soft set. It is a new mathematical tool that has great advantages in dealing with uncertain information and is proposed by combining soft sets and interval-valued fuzzy sets. The two existing fuzzy decision making algorithms based on interval-valued fuzzy soft sets were given. However, the two existing methods involve the high computational complexity and do not consider the added objects. In order to solve these problems, in this paper, we propose a new efficient decision making algorithm for interval-valued fuzzy soft sets. The comparison results among three methods on one real-life application and 30 synthetic generated datasets show that, the proposed algorithm involves relatively less computation and considers the added objects. Due to relatively less computation, our proposed algorithm has the much higher scalability for the large scale datasets compared with the two existing algorithms. Due to considering the added objects, our proposed algorithm has the much higher flexibility and is beneficial to the extension of interval-valued fuzzy soft set and combination of multiple interval-valued fuzzy soft sets. Keywords Soft sets . Interval-valued fuzzy soft set . Decision making . Evaluation system
1 Introduction There is a great amount of uncertain, inaccurate and vague information in the real life applications. As a matter of fact, most of the data we meet in our daily lives are vague rather than precise. Therefore handling the uncertainty when we face up to abundant data is becoming imperative. Soft set theory is a new mathematical tool aiming to handling uncertainty. In contrast to the traditional methods such as fuzzy set theory [1–6] and rough set theory so on, soft set theory is free from setting the membership function, which makes it very convenient and easy to apply in practice. Therefore, there are many applications which involve soft set theory as diverse as game theory [7], operations research, decision making [8–15], data mining [16–18], data analysis [19, 20] and data filling [21]
* Xiuqin Ma [email protected] Hongwu Qin [email protected] 1
College of Computer Science and Engineering, Northwest Normal University, Lanzhou 730070, Gansu, China
under incomplete information. In recent years, combination models of the soft set theory with other mathematical models have been intensely studied by researchers. Soft set can be extended as fuzzy soft set [22], which also can be applied into decision making [23–25]. Sequentially, Fuzzy soft set can be extended into intuitionistic fuzzy soft set [26, 27]. The decision making methods based on intuitionistic fuzzy soft set were given in [28–30].The article of [31] described a group medical diagnosis model based on intuitionistic fuzzy soft sets. Feng et al. [32] p
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