A Novel Approach Based on Sine Trigonometric Picture Fuzzy Aggregation Operators and Their Application in Decision Support System

Abdullah, Saleem; Khan, Saifullah; Qiyas, Muhammad; Chinram, Ronnason

doi:10.1155/2021/8819517

Cited by 19 publications

(10 citation statements)

References 42 publications

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“…In the future, the following scopes can be recommended. Various aggregation operators with IT2TPFNs can be developed, such as partitioned BM, 38 Dombi Hamy mean, 40 Frank-Choquet-BM, 42 sine trigonometric 60 operators etc. Instead of λ k , -additive fuzzy measure can be encountered for calculating the CI values.…”

Section: Impact Of the Model Parameters On The Ranking Resultsmentioning

confidence: 99%

Application of Choquet integral in interval type‐2 Pythagorean fuzzy sustainable supply chain management under risk

Mondal

Roy

2021

Int J Intell Syst

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The purpose of this study is to offer requisite models for unravelling the complex issues that arise in a supplier selection-order allocation problem by soothing the risk and disturbances. To do this, a new uncertain environment, interval type-2 Pythagorean fuzzy set How to cite this article: Mondal A, Roy SK. Application of Choquet integral in interval type-2 Pythagorean fuzzy sustainable supply chain management under risk.

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Section: Impact Of the Model Parameters On The Ranking Resultsmentioning

confidence: 99%

Application of Choquet integral in interval type‐2 Pythagorean fuzzy sustainable supply chain management under risk

Mondal

Roy

2021

Int J Intell Syst

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“…Therefore, the main advantage of this study is that the established MADM approach not only makes the assessment information more abundant and more credible, but also enhances the decision efficiency in the environment of FCNs. In the future work, this study will be further extended to picture fuzzy sets (Ashraf et al 2019), spherical fuzzy sets (Abdullah et al 2021), linguistic intuitionistic cubic fuzzy sets (Liu et al 2012), and applications of group decision-making, clustering analysis, pattern recognition, and medical diagnosis.…”

Section: Discussionmentioning

confidence: 99%

Weighted aggregation operators of fuzzy credibility numbers and their decision-making approach for slope design schemes

Song

et al. 2021

Comp. Appl. Math.

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In fuzzy decision-making problems, existing fuzzy decision-making methods only indicate fuzzy assessment values but lack the degrees/levels of credibility regarding the fuzzy assessment values in alternatives over attributes due to the vagueness and uncertainty of human cognitions/judgments for complicated decision-making problems. Therefore, the credibility degree of the fuzzy assessment value shows its importance and necessity in the fuzzy decisionmaking problem. To enhance the credibility degrees/levels of fuzzy assessment values, the fuzzy assessment values should be closely related to their credibility measures, which make the assessment information more abundant and more credible. Hence, this study proposes the concept of a fuzzy credibility number (FCN) as a new extension of the fuzzy concept, where both a fuzzy value and a credibility degree are expressed by a pair of fuzzy values. Then, we present operations of FCNs, a score function of FCN, a FCN weighted arithmetic averaging (FCNWAA) operator, and a FCN weighted geometric averaging (FCNWGA) operator. Next, a multi-attribute decision-making (MADM) approach using the FCNWAA or FCNWGA operator is established to deal with MADM problems in the setting of FCNs. Eventually, the established MADM approach is used for a decision-making example on selecting a suitable slope design scheme for an open pit mine in the setting of FCNs to reflect the usability and effectiveness of the established decision-making approach. Compared with the classical fuzzy MADM approach, the established MADM approach makes the assessment information more abundant and more credible, then the sensitivity analysis indicates the importance and efficiency of credibility measures in the ranking order of alternatives, which reflect main advantages of the established MADM approach in the environment of FCNs. However, this study reflects the novelty and new contribution of the proposed information expression and aggregation operations and decision-making method in fuzzy decision theory and methods.

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“…Garg [35] introduced a novel trigonometric operation based q-rung ortho pair fuzzy aggregation operators and he also extended these operational laws to Pythagorean fuzzy information [36]. Abdullah et al [37] developed an approach of ST-OLs for picture fuzzy sets. Ashraf et al [38] utilized the concept of single valued neutrosophic sine trigonometric aggregation operators for hydrogen power plant selection and further they implemented these operational laws for spherical fuzzy environment in [39].…”

Section: Introductionmentioning

confidence: 99%

Sine Trigonometry Operational Laws for Complex Neutrosophic Sets and Their Aggregation Operators in Material Selection

Ajay¹,

Aldring²,

Rajchakit³

et al. 2022

Computer Modeling in Engineering &Amp; Sciences

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In this paper, sine trigonometry operational laws (ST-OLs) have been extended to neutrosophic sets (NSs) and the operations and functionality of these laws are studied. Then, extending these ST-OLs to complex neutrosophic sets (CNSs) forms the core of this work. Some of the mathematical properties are proved based on ST-OLs. Fundamental operations and the distance measures between complex neutrosophic numbers (CNNs) based on the ST-OLs are discussed with numerical illustrations. Further the arithmetic and geometric aggregation operators are established and their properties are verified with numerical data. The general properties of the developed sine trigonometry weighted averaging/geometric aggregation operators for CNNs (ST-WAAO-CNN & ST-WGAO-CNN) are proved. A decision making technique based on these operators has been developed with the help of unsupervised criteria weighting approach called Entropy-ST-OLs-CNDM (complex neutrosophic decision making) method. A case study for material selection has been chosen to demonstrate the ST-OLs of CNDM method. To check the validity of the proposed method, entropy based complex neutrosophic CODAS approach with ST-OLs has been executed numerically and a comparative analysis with the discussion of their outcomes has been conducted. The proposed approach proves to be salient and effective for decision making with complex information.

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A Novel Approach Based on Sine Trigonometric Picture Fuzzy Aggregation Operators and Their Application in Decision Support System

Cited by 19 publications

References 42 publications

Application of Choquet integral in interval type‐2 Pythagorean fuzzy sustainable supply chain management under risk

Application of Choquet integral in interval type‐2 Pythagorean fuzzy sustainable supply chain management under risk

Weighted aggregation operators of fuzzy credibility numbers and their decision-making approach for slope design schemes

Sine Trigonometry Operational Laws for Complex Neutrosophic Sets and Their Aggregation Operators in Material Selection

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