A novel multiple attribute decision-making method based on Schweizer-Sklar t-norm and t-conorm with q-rung dual hesitant fuzzy information

• Autorzy: Xu Yuan , Wang Jun

Identyfikatory

DOI

10.24425/acs.2022.140870

• Języki publikacji: EN

Abstrakty

EN

The recently proposed q-rung dual hesitant fuzzy sets (q-RDHFSs) not only deal with decision makers’ (DMs’) hesitancy and uncertainty when evaluating the performance of alternatives, but also give them great liberty to express their assessment information comprehensively. This paper aims to propose a new multiple attribute decision-making (MADM) method where DMs’ evaluative values are in form of q-rung dual hesitant fuzzy elements (q-RDHFEs). Firstly, we extend the powerful Schweizer-Sklar q-norm and t-conorm (SSTT) to q-RDHFSs and propose novel operational rules of q-RDHFEs. The prominent advantage of the proposed operations is that they have important parameters q and r, making the information fusion procedure more flexible. Secondly, to effectively cope with the interrelationship among attributes, we extend the Hamy mean (HM) to q-RDHFSs and based on the newly developed operations, we propose the q-rung dual hesitant fuzzy Schweizer-Sklar Hamy mean (q-RDHFSSHM) operator, and the q-rung dual hesitant fuzzy Schweizer-Sklar weighted Hamy mean (q-RDHFSSWHM) operator. The properties of the proposed operators, such as idempotency, boundedness and monotonicity are discussed in detail. Third, we propose a new MADM method based on the q-RDHFSSWHM operator and give the main steps of the algorithm. Finally, the effectiveness, flexibility and advantages of the proposed method are discussed through numerical examples.

Słowa kluczowe

EN

multiple attribute decision-making; Schweizer-Sklar t-norm and t-conorm; q-rung dual hesitant fuzzy Schweizer-Sklar Hamy mean operator; q-rung dual hesitant fuzzy Schweizer-Sklar weighted Hamy mean operator

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2022
• Tom: Vol. 32, No. 1
• Strony: 175--228
• Opis fizyczny: Bibliogr. 59 poz., rys., tab., wzory

Twórcy

autor

Xu Yuan

• School of Economics and Management, Beijing Jiaotong University, Beijing 100044, China

autor

Wang Jun

• School of Economics and Management, Beijing University of Chemical Technology, Beijing 100029, China

Bibliografia

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Uwagi

1. This work is supported by Fundamental Research Funds for the Central Universities (Grant Number: 2021YJS056).

2. Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023)