Fuzzy inferior ratio method for multiple attribute decision making problems

Hadi-Vencheh, A.; Mirjaberi, Mahdi

doi:10.1016/j.ins.2014.02.019

Cited by 135 publications

(46 citation statements)

References 31 publications

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“…For further research of PFS, based on modificatory TOPSIS method, 12 Zhang and Xu 13 proposed an extension of Technique for Order Preference by Similarity to an Ideal Solution (TOPSIS) to solve MADM problem with Pythagorean fuzzy information. Yager 9,10 proposed four kinds of aggregation operators: Pythagorean fuzzy weighted average (PFWA) operator, Pythagorean fuzzy weighted geometric average (PFWG) operator, Pythagorean fuzzy weighted power average (PFWPA) operator, Pythagorean fuzzy weighted power geometric (PFWPG) operator, and applied them to MADM problems.…”

Section: Atanassovmentioning

confidence: 99%

Some Results for Pythagorean Fuzzy Sets

Peng

Yang

2015

Int. J. Intell. Syst.

751

379

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Pythagorean fuzzy sets (PFSs), originally proposed by Yager (Yager, Abbasov. Int J Intell Syst 2013;28:436-452), are a new tool to deal with vagueness considering the membership grades are pairs (μ, ν) satisfying the condition μ 2 + ν 2 ≤ 1. As a generalized set, PFSs have close relationship with intuitionistic fuzzy sets (IFSs). PFSs can be reduced to IFSs satisfying the condition μ + ν ≤ 1. However, the related operations of PFSs do not take different conditions into consideration. To better understand PFSs, we propose two operations: division and subtraction, and discuss their properties in detail. Then, based on Pythagorean fuzzy aggregation operators, their properties such as boundedness, idempotency, and monotonicity are investigated. Later, we develop a Pythagorean fuzzy superiority and inferiority ranking method to solve uncertainty multiple attribute group decision making problem. Finally, an illustrative example for evaluating the Internet stocks performance is given to verify the developed approach and to demonstrate its practicality and effectiveness. C 2015 Wiley Periodicals, Inc.

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Section: Atanassovmentioning

confidence: 99%

Some Results for Pythagorean Fuzzy Sets

Peng

Yang

2015

Int. J. Intell. Syst.

751

379

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“…For the comparison with Hadi-Vencheh and Mirjaberi's method [46], in the classical TOPSIS method, we often need to compute the relative closeness of the alternative with respect to the PIS + as below:…”

Section: Validity Test For Criterion 2 and Criterionmentioning

confidence: 99%

“…However, Hadi-Vencheh and Mirjaberi [46] suggested that one may use the following formula instead of the relative closeness index:…”

Section: Validity Test For Criterion 2 and Criterionmentioning

confidence: 99%

A Novel Method for Interval-Value Intuitionistic Fuzzy Multicriteria Decision-Making Problems with Immediate Probabilities Based on OWA Distance Operators

Liu

2018

Mathematical Problems in Engineering

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The goal of this work is to develop a novel decision-making method which can solve some complex decision problems that include the following three-aspect information: (1) information represented in the form of interval-valued intuitionistic fuzzy values (IVIFVs) not only intuitionistic fuzzy values (IFVs), (2) the probability information and the weighted information, and (3) the importance degree of each concept in the process of decision-making. Firstly, by integrating OWA operator, probabilistic weight (PW), and individual distance of two IVIFNs in the same formulation, we introduce two new distance operators named PIVIFOWAD operator and IPIVIFOWAD operator, respectively. Secondly, satisfaction degree of an alternative is proposed based on the positive ideal IVIFS and the negative ideal IVIFS and applied to MCDM. Finally, we use an illustrative example to show the feasibility and validity of the new method by comparing with the other existing methods.

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“…According to the study of Hadi-Vencheh and Mirjaberi [28], the relative closeness degree of the supplier is calculated as the following form:…”

Section: The Developed Techniquementioning

confidence: 99%

“…However, some academics [28] recently pointed out that the optimal solution identified by the relative closeness fails to guarantee that it has the shortest distance from the PIS and the farthest distance from the NIS, synchronously. Obviously, the revised closeness index is more reasonable because it can well overcome this drawback.…”

Section: Remarkmentioning

confidence: 99%

Closeness Degree-Based Hesitant Trapezoidal Fuzzy Multicriteria Decision Making Method for Evaluating Green Suppliers with Qualitative Information

Zhang

Yang

Liang

et al. 2018

Discrete Dynamics in Nature and Society

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The aim of this study is to develop a new closeness degree-based hesitant trapezoidal fuzzy (HTrF) multicriteria decision making (MCDM) approach for identifying the most appropriate green suppliers in food supply chain involving uncertain qualitative evaluation information. The uniqueness of the proposed HTrF MCDM method is the consideration of uncertain qualitative information represented by flexible linguistic expressions based on HTrF values and the construction of compromise solution with the revised closeness degree. The revised closeness degree can make sure that the most appropriate solution has the shortest distance from the HTrF positive ideal solution and the farthest distance from the HTrF negative ideal solution, simultaneously. This proposed HTrF MCDM technique not only offers a simple and efficient decision support tool to aid the food firms for identifying the optimal suppliers in food supply chain but also can enable the managers of food firms to better understand the complete evaluation and decision processes. In addition, this study provides a novel defuzzification technique to manage the HTrF weights values of main-criteria and subcriteria, respectively.

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Fuzzy inferior ratio method for multiple attribute decision making problems

Cited by 135 publications

References 31 publications

Some Results for Pythagorean Fuzzy Sets

Some Results for Pythagorean Fuzzy Sets

A Novel Method for Interval-Value Intuitionistic Fuzzy Multicriteria Decision-Making Problems with Immediate Probabilities Based on OWA Distance Operators

Closeness Degree-Based Hesitant Trapezoidal Fuzzy Multicriteria Decision Making Method for Evaluating Green Suppliers with Qualitative Information

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