Symmetric Triangular Interval Type-2 Intuitionistic Fuzzy Sets with Their Applications in Multi Criteria Decision Making

Singh, Salvinder Singh Karam; Garg, Harish

doi:10.3390/sym10090401

Cited by 36 publications

(11 citation statements)

References 60 publications

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“…It is revealed from the proposed method that the solution obtained is good compromise than the existing ones and shows it conservative in nature. In the future, we shall expand the proposed measures under the different uncertain and fuzzy environments [50][51][52][53][54].…”

Section: Resultsmentioning

confidence: 99%

Exponential similarity measures for Pythagorean fuzzy sets and their applications to pattern recognition and decision-making process

Nguyen

et al. 2019

Complex Intell. Syst.

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A Pythagorean fuzzy set is one of the successful extensions of the intuitionistic fuzzy set to handle the uncertain and fuzzy information in a more wider way. In this paper, some new exponential similarity measures (SMs) for measuring the similarities between objects are proposed. For it, we used the exponential function for the membership and the non-membership degrees and hence defined some series of the SMs for PFSs. The various desirable properties and their relations are examined. Several counter-intuitive cases are given to show the effectiveness of the proposed measures with the existing SMs. Furthermore, examples to classify the pattern recognition and the decision-making problems are presented and compared with the existing approaches.

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Section: Resultsmentioning

confidence: 99%

Exponential similarity measures for Pythagorean fuzzy sets and their applications to pattern recognition and decision-making process

Nguyen

et al. 2019

Complex Intell. Syst.

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“…Thus, the proposed decision-making framework is anticipated to be used as an effective and reliable tool for supply chain stakeholders to evaluate multiple resilient suppliers considering several conflicting criteria with imprecise decision relevant information. One of the few limitations of this study is that out of many other fuzzy techniques, we only considered SVNS and IVFS; thus, providing opportunities for future studies that can potentially investigate the feasibility and effectiveness of Triangular Interval Type-2 Intuitionistic Fuzzy Set (TIT2IFS) with weighted averaging (Garg, 2016;Singh & Garg, 2018), Dual Hesitant Fuzzy Soft Set (DHFSS) augmented with weighted correlation coefficient (Arora & Garg, 2018) measure as these techniques showed promising performance in handling uncertainties and vagueness while evaluating alternatives. In addition, further research may also extend this current work to develop a method that can optimize the weight of decision maker while aggregating the numerical data set.…”

Section: Resultsmentioning

confidence: 99%

A possibility distribution‐based multicriteria decision algorithm for resilient supplier selection problems

Jiang

Hasan

Faiz

et al. 2019

Multi Criteria Decision Anal

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Thus far, limited research has been performed on resilient supplier selection-a problem that requires simultaneous consideration of a set of numerical and linguistic evaluation criteria, which are substantially different from traditional supplier selection problem. Essentially, resilient supplier selection entails key sourcing decision for an organization to gain competitive advantage. In the presence of multiple conflicting evaluation criteria, contradicting decision makers, and imprecise decision relevant information (DRI), this problem becomes even more difficult to solve with the classical optimization approaches. Possibility distribution based Multi-Criteria Decision Analysis (MCDA) is a viable alternative approach for handling inherent uncertainty of imprecise DRI associated with the evaluation offered by a group of contradicting decision makers. However, prior research focusing on MCDA based supplier selection problem has been lacking in the ability to provide a seamless integration of numerical and linguistic evaluation criteria along with the consideration of multiple decision makers. To address these challenges, we present a comprehensive decision-making framework for ranking a set of suppliers from resiliency perspective. The proposed algorithm is capable of leveraging imprecise and aggregated DRI obtained from crisp numerical assessments and reliability adjusted linguistic appraisals from a group of decision makers. We adapt two popular tools -Single Valued Neutrosophic Sets (SVNS) and Interval-valued fuzzy sets (IVFS), and for the first time extend them to incorporate both crisp and linguistic evaluations in a group decision making platform to obtain aggregated SVNS and IVFS decision matrix. This information is then used to rank the resilient suppliers by using TOPSIS method. We present a case study to illustrate the mechanism of the proposed algorithm. A sensitivity analysis demonstrates the strength of the proposed algorithm to generate alternative ranking scheme with respect to the priorities of evaluation criteria, and thus shows the potential to provide a reliable decision-making framework.

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“…Also, Stanujkić and Karabašević [47] extended the WASPAS method [48] with an intuitionistic fuzzy number in evaluating a website and showed that it is an improvement over the other extension with a hamming distance. Singh and Garg [49] developed the symmetric triangular interval type-2 intuitionistic fuzzy set operations and the use of the Hamy mean to aggregate the operators. The company selection problem and the risk for an event was used to illustrate the use of the operator.…”

Section: Hybrid Mcdm Methodsmentioning

confidence: 99%

Grey Regulatory Focus Theory Weighting Method for the Multi-Criteria Decision-Making Problem in Evaluating University Reputation

Esangbedo

Bai

2019

Symmetry

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Evaluating the reputation of higher institutions is important as a benchmark for the continuous development of universities. In multi-criteria decision-making (MCDM), the estimation of the criteria weight is significant in improving the accuracy of the evaluation results. However, criteria weights assigned by decision makers (DMs) can be inaccurate when not measured from the orientations from which the DMs pursue their decision goals. This paper combines the grey system theory (GST) and regulatory focus theory (RFT) in estimating the weights of criteria by measuring the promotional and prevention focus orientations of the DMs and representing it as grey numbers. In this paper, we showed not all weight measurements from the DMs are symmetrical. In essence, to improve the accuracy of the MCDM weights, the grey regulatory focus theory (GRFT) weighting method is proposed to estimate the weights of an MCDM problem as well as aggregating the weights of the group DMs, thereby overcoming the limitation of a single orientation measurement. Furthermore, the GRFT weighting method is applied in ranking four universities in Xi’an city of China from a sample data from 1,200 students. The most reputable university is consistent with the other ranking indexes in the literature.

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Symmetric Triangular Interval Type-2 Intuitionistic Fuzzy Sets with Their Applications in Multi Criteria Decision Making

Cited by 36 publications

References 60 publications

Exponential similarity measures for Pythagorean fuzzy sets and their applications to pattern recognition and decision-making process

Exponential similarity measures for Pythagorean fuzzy sets and their applications to pattern recognition and decision-making process

A possibility distribution‐based multicriteria decision algorithm for resilient supplier selection problems

Grey Regulatory Focus Theory Weighting Method for the Multi-Criteria Decision-Making Problem in Evaluating University Reputation

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