RETRACTED ARTICLE: Some new dual hesitant fuzzy linguistic operators based on Archimedean t-norm and t-conorm

Zhang, Nian; Yao, Zhigang; Zhou, Yufeng; Wei, Guiwu

doi:10.1007/s00521-018-3534-x

Cited by 8 publications

(1 citation statement)

References 76 publications

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“…In DHF environment, Yu proposed At‐N&t‐CN DHF WA (ADHFWA) and WG (ADHFWG) operators. Zhang et al introduced some general aggregation operators based on At‐N&t‐CN for DHF linguistic (DHFL) elements (DHFLEs) viz., At‐N&t‐CN‐based DHFL WA and WG, At‐N&t‐CN‐based generalized DHFL WA and WG operators. Furthermore, Zhang et al proposed power‐geometric operators to aggregate DHFLEs based on At‐N&t‐CN.…”

Section: Introductionmentioning

confidence: 99%

Development of Archimedean t‐norm and t‐conorm‐based interval‐valued dual hesitant fuzzy aggregation operators with their application in multicriteria decision making

Sarkar¹,

Biswas

2020

Engineering Reports

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In this article, Archimedean t‐norm and t‐conorm (At‐N&t‐CN)‐based aggregation operators are developed for aggregating the interval‐valued dual hesitant fuzzy (IVDHF) elements (IVDHFEs), which can cover a wide variety of existing aggregation operators. After introducing the concept of IVDHF set, several related terms, viz., score function, accuracy function, and degree of hesitancy are defined. Using At‐N&t‐CN, different operations for IVDHFEs are presented. Conversion processes from the developed operators to other forms of operators in several variants of fuzzy environments are discussed. An approach to solve multicriteria decision making problem in IVDHF context is presented using the developed concepts. To demonstrate proficiency of the developed method, an illustrative example is presented. Furthermore, several numerical examples, studied previously, are also solved, and achieved solutions are compared with the existing ones to establish the robustness of the proposed operator.

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Section: Introductionmentioning

confidence: 99%