Interval-Valued Dual Hesitant Fuzzy Hamacher Aggregation Operators for Multiple Attribute Decision Making
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Journal of Systems Science and Information  2019, Vol. 7 Issue (3): 227-256    DOI: 10.21078/JSSI-2019-227-30
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Interval-Valued Dual Hesitant Fuzzy Hamacher Aggregation Operators for Multiple Attribute Decision Making
Chao JIANG, Shenqing JIANG, Jianlan CHEN
Department of Basic Courses, Nantong Shipping College, Nantong 226010, China
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Abstract 

As an generalization of hesitant fuzzy set, interval-valued hesitant fuzzy set and dual hesitant fuzzy set, interval-valued dual hesitant fuzzy set has been proposed and applied in multiple attribute decision making. Hamacher t-norm and t-conorm is an generalization of algebraic and Einstein t-norms and t-conorms. In order to combine interval-valued dual hesitant fuzzy aggregation operators with Hamacher t-norm and t-conorm. We first introduced some new Hamacher operation rules for interval-valued dual hesitant fuzzy elements. Then, several interval-valued dual hesitant fuzzy Hamacher aggregation operators are presented, some desirable properties and their special cases are studied. Further, a new multiple attribute decision making method with these operators is given, and an numerical example is provided to demonstrate that the developed approach is both valid and practical.

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Chao JIANG
Shenqing JIANG
Jianlan CHEN
Key wordsmultiple attribute decision making   interval-valued dual hesitant fuzzy set   Hamacher t-norm and t-conorm   interval-valued dual hesitant fuzzy Hamacher aggregation operators     
Received: 2018-06-27;
Fund:

Supported by the Natural Science Foundation of Higher Education of Jiangsu Province (18KJB110024), the High Training Funded for Professional Leaders of Higher Vocational Colleges in Jiangsu Province (2018GRFX038), Science and Technology Research Project of Nantong Shipping College (HYKY/2018A03)

Corresponding Authors: Shenqing JIANG   
 E-mail: jiangshenqing@ntsc.edu.cn
Cite this article:   
Chao JIANG,Shenqing JIANG,Jianlan CHEN. Interval-Valued Dual Hesitant Fuzzy Hamacher Aggregation Operators for Multiple Attribute Decision Making[J]. Journal of Systems Science and Information, 2019, 7(3): 227-256.
URL:  
http://123.57.41.99/Jwk_si/EN/10.21078/JSSI-2019-227-30     or     http://123.57.41.99/Jwk_si/EN/Y2019/V7/I3/227
 
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