Novel Parameterized Score Functions on Interval-Valued Intuitionistic Fuzzy Sets With Three Fuzziness Measure Indexes and Their Application

IEEE Access

Fangwei Zhang¹  Jun Ye²  Jing Sun³  Guan Ke Liew⁴  Shuhong Wang⁵ 

[1] College of Transport and Communications, Shanghai Maritime University, Shanghai, China;Department of Electrical and Information Engineering, Shaoxing University, Shaoxing, China;Department of Mathematics, University of Macau, Macau, China;School of Business, National University of Singapore, Singapore;School of Computing, National University of Singapore, Singapore;

关键词: Interval-valued intuitionistic fuzzy set;    entropy function;    score function;    accuracy function;    trigonometric function;   

DOI  :  10.1109/ACCESS.2018.2885794

来源: DOAJ

【 摘 要 】

To explore the essential law of fuzziness of interval-valued intuitionistic fuzzy sets (IVIFSs), the entropy brought by interval values is studied. Moreover, together with classical score and accuracy functions, a series of novel parameterized generalized score functions on IVIFSs are proposed. First, the information that IVIFSs load is divided into three parts, where one part is the normalized score value, the second one is the classical accuracy value, and the third one is the newly proposed entropy value which originate from interval values. Second, by using the proposed entropy function and the other two parameter functions, a series of novel generalized score functions for IVIFSs are introduced. Furthermore, some properties on these proposed functions are explored. The main technological innovation of this paper is to express the relationship between the generalized score function and the three parameters introduced by using trigonometric functions. The main characteristic of this paper is that smaller the entropy value of IVIFN, the bigger is the generalized score function value. Finally, an example illustrates that the newly proposed generalized parameterized score functions deal with decision-making information in more detail, where a variety of decision-making plans can be provided for the decision makers. Therefore, the decision-making results obtained by the proposed generalized score functions are more expected.

【 授权许可】

Unknown