Some Hesitant Fuzzy Hamacher Power-Aggregation Operators for Multiple-Attribute Decision-Making

Son, Moon; Park, Jin Han; Ko, Ka Hyun

doi:10.3390/math7070594

Cited by 13 publications

(3 citation statements)

References 47 publications

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“…The Hamacher operator 42 is one of the representatives of the fuzzy composition operators with parameters, and it is widely used in researches. [42][43][44][45][46][47][48][49][50][51][52] Drawing on the relevant description of the Hamacher operator algorithm in the literature, 43 we introduce the Hamacher operator and accordingly calculate the comprehensive evaluation value of each alternative…”

Section: Mcdm Methods Based On Similarity and Pythagorean Reliability Measuresmentioning

confidence: 99%

Similarity and Pythagorean reliability measures of multivalued neutrosophic cubic set and its application to multiple‐criteria decision‐making

Wang

Zhao

2021

Int J Intell Syst

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Considering the limitations of interval neutrosophic set (INS), multivalued neutrosophic set (MVNS), and neutrosophic cubic set (NCS) in describing uncertainty, respectively, this study proposes a multivalue neutrosophic cubic set (MVNCS). Originating from the combination of INS and MVNS, MVNCS is regarded as the general form of NCS. First, some basic operations of MVNCS and the similarity measures of MVNCS are defined. Second, considering the complexity of actual decision-making problems, the Pythagorean reliability measure of MVNCS is further developed to process the evaluation indicators and attribute weights given by decision-makers more accurately. Third, a multicriteria decision-making approach under the multivalue neutrosophic cubic environment is proposed based on the above measures. Finally, an example of investment options that follow sensitivity and comparative analysis provided to justify the advantages of our method is given.

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Section: Mcdm Methods Based On Similarity and Pythagorean Reliability Measuresmentioning

confidence: 99%

Similarity and Pythagorean reliability measures of multivalued neutrosophic cubic set and its application to multiple‐criteria decision‐making

Wang

Zhao

2021

Int J Intell Syst

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“…For example, Wei [36] developed some HPAOs for MADM problems under the PyFSs. Son, Park and Ko [37] introduced some hesitant fuzzy HPAOs. Stimulated by the literature above, in this article, we extend a family of HPAOs to spherical fuzzy environment in order to offer DMs more options for dealing with MAGDM problems.…”

Section: Introductionmentioning

confidence: 99%

Spherical fuzzy hamacher power aggregation operators based on entropy for multiple attribute group decision making

Zhang

Wang

Cai

et al. 2023

IFS

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As an improved form of fuzzy sets (FSs), spherical fuzzy sets (SFSs) could provide decision makers (DMs) with more free space to express their preference information. In this article, we first develop some Hamacher power aggregation operators under SFSs by power operators and Hamacher operators, including spherical fuzzy Hamacher power average (SFHPA) operator, spherical fuzzy Hamacher power geometric (SFHPG) operator, spherical fuzzy Hamacher power weighted average (SFHPWA) operator, spherical fuzzy Hamacher power weighted geometric (SFHPWG) operator, spherical fuzzy Hamacher power ordered weighted average (SFHPOWA) operator, spherical fuzzy Hamacher power ordered weighted geometric (SFHPOWG) operator, spherical fuzzy Hamacher power hybrid average (SFHPHA) operator and spherical fuzzy Hamacher power hybrid geometric (SFHPHG) operator. At the same time, some properties of the proposed operators are investigated, and the relationships between these operators and existing operators are discussed. Furthermore, a novel spherical fuzzy entropy measure is introduced to calculate unknown attribute weights. Then, some novel multiple attribute group decision making (MAGDM) methods are established by the proposed operators as well as entropy measure under SFSs. Lastly, the practicability of the presented methods is verified with a numerical case. Moreover, the robustness, availability and superiority for the developed methods are demonstrated via sensitivity analysis and further comparation with the existing methods.

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“…While the fuzzy set theory is concerned with membership and non-membership, the concept of IFS allows for the additional term called the degree of hesitancy. Since then, scholars in several fields use these theories for decision making [2,3,14,[21][22][23]27]. Possibility measures, distance measures and metrics are great decision support tools in these theories.…”

Section: Introductionmentioning

confidence: 99%

On some classes of Tchebychev distance based on intuitionistic fuzzy cardinality and intuitionistic fuzzy statistical description

Kamga¹,

Engoulou²,

Fotso³

et al. 2022

NIFS

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The Tchebychev distance on fuzzy sets (FSs) has been proposed to construct a measure of proximity between two modalities in a two-dimensional statistical description. The parameterized symmetric difference operations and cardinality for intuitionistic fuzzy sets (IFSs) has been proposed. This paper extends to intuitionistic fuzzy set the Tchebychev distance and possibility measure on fuzzy sets. More precisely, we firstly use the parameterized symmetric difference operations and the cardinality on IFSs to propose a Tchebychev distance measure for IFSs. From these, we then deduce two examples of metrics. Secondly, we introduce an intuitionistic fuzzy mapping that preserves the properties of the fuzzy mapping. We use this mapping to propose a Tchebychev possibility measure based on IF-cardinality. This leads to define a proximity measure between two modalities of a given character in a two-dimensional intuitionistic fuzzy statistical description.

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Some Hesitant Fuzzy Hamacher Power-Aggregation Operators for Multiple-Attribute Decision-Making

Cited by 13 publications

References 47 publications

Similarity and Pythagorean reliability measures of multivalued neutrosophic cubic set and its application to multiple‐criteria decision‐making

Similarity and Pythagorean reliability measures of multivalued neutrosophic cubic set and its application to multiple‐criteria decision‐making

Spherical fuzzy hamacher power aggregation operators based on entropy for multiple attribute group decision making

On some classes of Tchebychev distance based on intuitionistic fuzzy cardinality and intuitionistic fuzzy statistical description

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