Multi-attribute group decision making based on extended TOPSIS method under interval-valued intuitionistic fuzzy environment

Gupta, Pankaj; Mehlawat, Mukesh Kumar; Grover, Nishtha; Pedrycz, Witold

doi:10.1016/j.asoc.2018.04.032

Cited by 107 publications

(52 citation statements)

References 31 publications

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“…In order to compare the serformances of the proposed approach with respect to the existing approaches [21,25,30,33,34,40] under the CFSs, IVIFSs, IFSs, and interval-valued FSs environments, an analysis has been conducted. To apply these existing approaches to the considered data, rst, the rating values of CIFNs are converted into these numbers by taking the rating corresponding to IFNs as zero.…”

Section: Comparative Studiesmentioning

confidence: 99%

“…Askarifar et al [32] presented an approach to studying the framework of Iran's seashores using TOPSIS and best-worst MCDM methods. In [33,34], the authors developed a group DM method under IVIF environment by integrating extended TOPSIS and linear programming methods. Kumar and Garg [35,36] presented the TOPSIS approach for solving DM problems by using connection number of the set pair analysis theory.…”

Section: Introductionmentioning

confidence: 99%

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Extended TOPSIS method for multi-criteria group decision-making problems under cubic intuitionistic fuzzy environment

Garg

Kaur

2018

Scientia Iranica

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The objective of this work is to present a novel Multi-Criteria Group Decision-Making (MCGDM) method under the Cubic Intuitionistic Fuzzy (CIF) environment by integrating it with the extended TOPSIS method. In the existing studies, uncertainties, which are present in the data, are handled with either Interval-Valued Intuitionistic Fuzzy Sets (IVIFS) or Intuitionistic Fuzzy Set (IFS) information, which may lose some useful information of alternatives. On the other hand, CIF Set (CIFS) handles the uncertainties by considering both the IVIFS and IFS simultaneously. Thus, motivated by this, in the present work, some series of distance measures between the pairs of CIFSs were presented, and their various relationships were investigated. Further, under this environment, a group decision-making method based on the proposed measure was presented by considering the di erent priority pairs of the decision-makers. A practical example was provided to verify the developed approach and, demonstrate its practicality and feasibility, their results were compared with those of the several existing approaches.

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Section: Comparative Studiesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Extended TOPSIS method for multi-criteria group decision-making problems under cubic intuitionistic fuzzy environment

Garg

Kaur

2018

Scientia Iranica

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“…It is specific with peculiarities of three aggregation models based on the full compensatory operator, the noncompensatory operator and the incomplete compensatory operator, respectively. Compared with other methods, such as TOPSIS, TODIM, and VIKOR, the most important features of the MULTIMOORA method are simplicity, little mathematical calculations, good stability and low solving time. Datta developed an improved MULTIMOORA method using gray numbers.…”

Section: Introductionmentioning

confidence: 99%

Interval 2‐tuple Pythagorean fuzzy linguistic MULTIMOORA method with CIA and their application to MCGDM

et al. 2020

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The reliable evaluation of financial performance of universities plays an important role in sustainable development of universities, and it could be regarded as a multicriteria group decision making problem. Based on this, in this paper, with respect to the attribute evaluation values are expressed by interval 2‐tuple Pythagorean fuzzy linguistic variables, we develop an extended MULTIMOORA method. First, we propose the interval 2‐tuple Pythagorean fuzzy linguistic set based on Pythagorean fuzzy set and interval‐valued 2‐tuple linguistic variables, and further introduce the score and accuracy functions and Hamming distance of it. Then, considering that there are some deficiencies in the traditional MULTIMOORA method, such as exist the case of circular reasoning, and so forth. We improve it by proposing a comprehensive integration approach, which can not only consider both the utility values and sort results, but also reflect the preference attitude of decision makings simultaneously. Based on these research findings, an interval 2‐tuple Pythagorean fuzzy linguistic MULTIMOORA method is presented and the calculation process of this method is described in detail. Finally, we give the numerical example concerning the evaluation of financial management performance in universities to illustrate practicability and reliability of the proposed approach and compare the proposed method with different methods to perform its flexibility.

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“…Wang and Chen [12] proposed a decision making method using IVIFSs, linear programming (LP), and the extended TOPSIS method, where they used LP methodology to obtain optimal weights of attributes. Gupta et al [13] combined extended TOPSIS and LP method to propose a multi-attribute group decision making (MAGDM) method in the context if IVIFS. Interval-valued intuitionistic fuzzy matrix (IVIFM) was used by Das et al [14] to propose a decision making approach, where the authors assigned confident weights to the experts and then presented a decision making algorithm [15].…”

Section: Introductionmentioning

confidence: 99%

An Extension of the CODAS Approach Using Interval-Valued Intuitionistic Fuzzy Set for Sustainable Material Selection in Construction Projects with Incomplete Weight Information

et al. 2019

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Optimal selection of sustainable materials in construction projects can benefit several stakeholders in their respective industries with the triple bottom line (TBL) framework in a broader perspective of greater business value. Multiple criteria of social, environmental, and economic aspects should be essentially accounted for the optimal selection of materials involving the significant group of experts to avoid project failures. This paper proposes an evaluation framework for solving multi criteria decision making (MCDM) problems with incomplete weight information by extending the combinative distance assessment (CODAS) method with interval-valued intuitionistic fuzzy numbers. To compute the unknown weights of the evaluation criteria, this paper presents an optimization model based on the interval-valued intuitionistic fuzzy distance measure. In this study, we emphasize the importance of individual decision makers. To illustrate the proposed approach, an example of material selection in automotive parts industry is presented followed by a real case study of brick selection in sustainable building construction projects. The comparative study indicates the advantages of the proposed approach in comparison with the some relevant approaches. A sensitivity analysis of the proposed IVIF-CODAS method has been performed by changing the criteria weights, where the results show a high degree of stability.

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Multi-attribute group decision making based on extended TOPSIS method under interval-valued intuitionistic fuzzy environment

Cited by 107 publications

References 31 publications

Extended TOPSIS method for multi-criteria group decision-making problems under cubic intuitionistic fuzzy environment

Extended TOPSIS method for multi-criteria group decision-making problems under cubic intuitionistic fuzzy environment

Interval 2‐tuple Pythagorean fuzzy linguistic MULTIMOORA method with CIA and their application to MCGDM

An Extension of the CODAS Approach Using Interval-Valued Intuitionistic Fuzzy Set for Sustainable Material Selection in Construction Projects with Incomplete Weight Information

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