Dual hesitant fuzzy linguistic power-geometric operators based on Archimedean t-conorms and t-norms and their application to group decision making

Zhang, Nian; Yin, Yanru; Fu, Deqiang; Wei, Guiwu

doi:10.3233/jifs-190098

Cited by 4 publications

(3 citation statements)

References 39 publications

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“…As a result, the ATCN and ATN are more adaptable, powerful, and generalized. Many scholars have proposed AOs in a variety of fuzzy environments using ATCN and ATN for integrating ambiguous data, for example, complex IF environment [26], interval type-2 fuzzy environment [27], Pythagorean hesitant fuzzy [28], dual hesitant fuzzy linguistic [29], hesitant trapezoidal fuzzy environment [30], interval-valued dual hesitant fuzzy [31], and t-spherical fuzzy environment [32]. According to the above literature review, many authors have developed AOs based on ATCN and ATN in several fuzzy environments.…”

Section: Introductionmentioning

confidence: 99%

q-Rung Orthopair Fuzzy Archimedean Aggregation Operators: Application in the Site Selection for Software Operating Units

Seikh,

Mandal

2023

Symmetry

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The q-rung orthopair fuzzy (q-ROF) set is an efficient tool for dealing with uncertain and inaccurate data in real-world multi-attribute decision-making (MADM). In MADM, aggregation operators play a significant role. The majority of well-known aggregation operators are formed using algebraic, Einstein, Hamacher, Frank, and Yager t-conorms and t-norms. These existing t-conorms and t-norms are some special cases of Archimedean t-conorms (ATCNs) and Archimedean t-norms (ATNs). Therefore, this article aims to extend the ATCN and ATN operations under the q-ROF environment. In this paper, firstly, we present some new operations for q-ROF sets based on ATCN and ATN. After that, we explore a few desirable characteristics of the suggested operational laws. Then, using these operational laws, we develop q-ROF Archimedean weighted averaging (geometric) operators, q-ROF Archimedean order weighted averaging (geometric) operators, and q-ROF Archimedean hybrid averaging (geometric) operators. Next, we develop a model based on the proposed aggregation operators to handle MADM issues. Finally, we elaborate on a numerical problem about site selection for software operating units to highlight the adaptability and dependability of the developed model.

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Section: Introductionmentioning

confidence: 99%

q-Rung Orthopair Fuzzy Archimedean Aggregation Operators: Application in the Site Selection for Software Operating Units

Seikh,

Mandal

2023

Symmetry

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“…On the basis of hesitant fuzzy correlation coefficient, Sun et al, (2018) presented a new TOPSIS method to deal with the negative-value information. Sajjad et al, (2018) Recently, decision making under linguistic environment has become a hotspot, and there are a series of papers focus on this research (Wei et al 2016;Yang and Ju 2014;Zhang et al 2019a;Zhang et al 2019b;Zhang et al 2018). But to make a right decision, there are many other factors that need to be considered.…”

Section: Introductionmentioning

confidence: 99%

Extension of the TOPSIS Method for Decision-making Problem Under Dual Hesitant Fuzzy Language Environment

Zhang

Zhou

Wei

2021

Preprint

Self Cite

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In order to comprehensively and actually describe the evaluation process, the dual hesitant fuzzy linguistic (DHFL) set is introduced in this paper, which includes more decision-making information, such as fuzzy state, hesitant process and language information. Specifically, some basic concepts of DHFL set are illustrated and a new distance measure for DHFL information is proposed, which is suitable for overcoming the irrational traditional methodology upon the general distance measure and basic probability concepts. Then, technique for order preference by similarity to ideal solution (TOPSIS) method is extended in dual hesitant fuzzy language environment, a novel TOPSIS method using the DHFL set is presented. Finally, the sensitivity analysis is performed to verify the feasibility and stability of the developed method, then the advantages of the proposed method are also confirmed by detailed comparative analysis.

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“…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. However, the previously proposed At‐N&t‐CN‐based aggregation operators are not implemented to such situations in which the input arguments take the form of IVDHFEs.…”

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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Dual hesitant fuzzy linguistic power-geometric operators based on Archimedean t-conorms and t-norms and their application to group decision making

Cited by 4 publications

References 39 publications

q-Rung Orthopair Fuzzy Archimedean Aggregation Operators: Application in the Site Selection for Software Operating Units

q-Rung Orthopair Fuzzy Archimedean Aggregation Operators: Application in the Site Selection for Software Operating Units

Extension of the TOPSIS Method for Decision-making Problem Under Dual Hesitant Fuzzy Language Environment

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

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