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国际不确定性的量化期刊
影响因子: 4.911 5年影响因子: 3.179 SJR: 1.008 SNIP: 0.983 CiteScore™: 5.2

ISSN 打印: 2152-5080
ISSN 在线: 2152-5099

Open Access

国际不确定性的量化期刊

DOI: 10.1615/Int.J.UncertaintyQuantification.2018021197
pages 361-382

INTERVAL-VALUED DUAL HESITANT FUZZY INFORMATION AGGREGATION AND ITS APPLICATION IN MULTIPLE ATTRIBUTE DECISION MAKING

Xindong Peng
School of Information Sciences and Engineering, Shaoguan University, Shaoguan, 521005, China
Jingguo Dai
School of Information Sciences and Engineering, Shaoguan University, Shaoguan, 521005, China
Lin Liu
School of Information Sciences and Engineering, Shaoguan University, Shaoguan, 521005, China

ABSTRACT

In this paper, we investigate the multiple attribute decision making (MADM) problems in which the attribute values take the form of interval-valued dual hesitant fuzzy elements (IVDHFEs). The existing t-norms and t-conorms, including the algebraic, Einstein, Frank and Hamacher t-norms and t-conorms, can be regarded as special cases of Archimedean t-norm and t-conorm. Firstly, we develop some new operational laws for IVDHFEs based on the Archimedean t-norm and t-conorm. Then, based on the operational laws, we define some interval-valued dual hesitant fuzzy aggregation operators and their generalizations are also introduced, and some desirable properties and the relationships of these operators are discussed in detail. Later, according to the Choquet integral and Archimedean t-norm and t-conorm, we propose some interval-valued dual hesitant fuzzy Choquet operators, such as interval-valued dual hesitant fuzzy Choquet ordered average (IVDHFCOA) operator and interval-valued dual hesitant fuzzy Choquet ordered geometric (IVDHFCOG) operator. Furthermore, we develop an approach to MADM under interval-valued dual hesitant fuzzy environment. Finally, an illustrative example for selecting a software development project is given to verify the developed method and to demonstrate its practicality and effectiveness.


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