Multi-Attribute Decision-Making Method Based on Complex Interval-Valued q-Rung Orthopair Linguistic Heronian Mean Operators and Their Application

Qi, Xiaoming; Ali, Zeeshan; Mahmood, Tahir; Лю, Пэйдэ

doi:10.1007/s40815-022-01455-0

Cited by 4 publications

(2 citation statements)

References 51 publications

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“…Based on the above models, there are many extension models such as picture fuzzy set 26 , 27 , complex fuzzy set, fuzzy soft set 28 and their extensions 29 – 37 . The current research on IVq-ROFS mainly focuses on the aggregation operators 38 – 40 , information measures 41 – 43 , extended IVq-ROFS 44 – 46 , MADM methods 47 – 49 .…”

Section: Introductionmentioning

confidence: 99%

A novel group decision making method based on CoCoSo and interval-valued Q-rung orthopair fuzzy sets

Zheng,

Qin,

2024

Sci Rep

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Interval-valued q-rung orthopair fuzzy set (IVq-ROFS) is a powerful tool for dealing with uncertainty. In this paper, we first propose a new method for aggregating multiple IVq-ROFSs, which is easier to understand and implement in the multi-attribute group decision making process compared to current aggregation operators. Secondly, this paper introduces a new fuzzy entropy with parameters based on IVq-ROFS, which is highly flexible due to its adjustable parameters. Based on this, the IVq-ROFS-based attribute weight calculation method is proposed to obtain the objective weights of the attributes, which is more reasonable and objective than the existing methods. Then, for the dimensional differences between the three compromise scores in the original Combined Compromise Solution (CoCoSo) method, the enhanced compromise scores are proposed. These scores are obtained by normalizing the three dependent compromise scores, ensuring that they fall within the same range. Finally, a novel CoCoSo mothed on IVq-ROFS using the proposed fuzzy entropy and enhanced compromise scores is presented. The proposed method is highly adaptable and scalable, not limited to IVq-ROFS. The excellent performance and robustness of the proposed method are verified in sepsis diagnosis applications.

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Section: Introductionmentioning

confidence: 99%

A novel group decision making method based on CoCoSo and interval-valued Q-rung orthopair fuzzy sets

Zheng,

Qin,

2024

Sci Rep

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“…Xu ( 2023 ) proposed a two-stage MADM method that used the IV q -ROF technique to address complex problems, such as the selection of a bike-sharing recycling supplier. Combining complex IV q -ROF information with linguistic sets, Qi et al ( 2023 ) introduced the concept of complex interval-valued q -rung orthopair linguistic information, which is more generalized and exceptionally practical for representing challenging and unreliable information in complex situations. Ahemad et al ( 2023 ) developed the COPRAS approach to address MAGDM problems using IV q -ROFNs.…”

Section: Introductionmentioning

confidence: 99%

Enhancing breast cancer treatment selection through 2TLIVq-ROFS-based multi-attribute group decision making

Rasheed,

Mahboob,

Mustafa

et al. 2024

Front. Artif. Intell.

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IntroductionBreast cancer is an extremely common and potentially fatal illness that impacts millions of women worldwide. Multiple criteria and inclinations must be taken into account when selecting the optimal treatment option for each patient.MethodsThe selection of breast cancer treatments can be modeled as a multi-attribute group decision-making (MAGDM) problem, in which a group of experts evaluate and rank alternative treatments based on multiple attributes. MAGDM methods can aid in enhancing the quality and efficacy of breast cancer treatment selection decisions. For this purpose, we introduce the concept of a 2-tuple linguistic interval-valued q-rung orthopair fuzzy set (2TLIVq-ROFS), a new development in fuzzy set theory that incorporates the characteristics of interval-valued q-rung orthopair fuzzy set (IVq-ROFS) and 2-tuple linguistic terms. It can express the quantitative and qualitative aspects of uncertain information, as well as the decision-makers' level of satisfaction and dissatisfaction.ResultsThen, the 2TLIVq-ROF weighted average (2TLIVq-ROFWA) operator and the 2TLIVq-ROF weighted geometric (2TLIVq-ROFWJ) operator are introduced as two new aggregation operators. In addition, the multi-attribute border approximation area comparison (MABAC) method is extended to solve the MAGDM problem with 2TLIVq-ROF information.DiscussionTo demonstrate the efficacy and applicability of the suggested model, a case study of selecting the optimal breast cancer treatment is presented. The results of the computations show that the suggested MAGDM model is able to handle imprecision and subjectivity in complicated decision-making scenarios and opens new research scenarios for scholars.

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A New Approach for Payoffs Distribution Based on Borda-MULTIMOORA Method Under q-Rung Interval-Valued Orthopair Fuzzy Environment

Ding,

Zhang

2024

Int. J. Fuzzy Syst.

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Multi-Attribute Decision-Making Method Based on Complex Interval-Valued q-Rung Orthopair Linguistic Heronian Mean Operators and Their Application

Cited by 4 publications

References 51 publications

A novel group decision making method based on CoCoSo and interval-valued Q-rung orthopair fuzzy sets

A novel group decision making method based on CoCoSo and interval-valued Q-rung orthopair fuzzy sets

Enhancing breast cancer treatment selection through 2TLIVq-ROFS-based multi-attribute group decision making

A New Approach for Payoffs Distribution Based on Borda-MULTIMOORA Method Under q-Rung Interval-Valued Orthopair Fuzzy Environment

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