A novel aggregation principle for hesitant fuzzy elements

Mu, Zhimin; Zeng, Shouzhen; Baležentis, Tomas

doi:10.1016/j.knosys.2015.04.008

Cited by 30 publications

(10 citation statements)

References 24 publications

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“…Indeed, compared with the intuitionistic fuzzy set (Atanassov 1986) and the Pythagorean fuzzy set (Yager 2014;, this approach permits the membership degree of an attribute to a given set being represented by several possible numerical values. Following this major trend in research, hesitant fuzzy set theory is considered having enormous chances of success for multiple attribute decision making problems due to the great superiority on dealing with vagueness, so that it has been applied in various areas, such as cluster analysis (Chen et al 2013;Farhadinia 2013), pattern recognition (Peng et al 2013;) and mainly in the decision making fields (Chen, Xu 2015;Liao et al 2015;Jin et al 2013;Mu et al 2015;Rodríguez et al 2014;Tan et al 2015;Ye 2014;Zhang 2013;Yu et al 2013;Zhang, Wei 2013;Zeng et al 2013a). For example, Xia and Xu (2011) proposed some common hesitant fuzzy aggregation operators and studied their application in decision making problems.…”

Section: Introductionmentioning

confidence: 99%

“…Zhang and Wei (2013) developed the extended VIKOR (VlseKriterijumska Optimizacija Kompromisno Resenje) method to solve the hesitant fuzzy MCDM problems. Mu et al (2015) presented a new aggregation principle for aggregating hesitant fuzzy elements, which can effectively reduce the computational complexity specific to the conventional aggregation principle. proposed some induced generalized hesitant fuzzy operators and studied their application in multiple attribute group decision making problems.…”

Section: Introductionmentioning

confidence: 99%

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A Method Based on Topsis and Distance Measures for Hesitant Fuzzy Multiple Attribute Decision Making

Zeng

Xiao

2018

Technological and Economic Development of Economy

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Abstract. The aim of this paper is to provide a methodology to hesitant fuzzy multiple attribute decision making using technique for order preference by similarity to ideal solution (TOPSIS) and distance measures. Firstly, the inadequacies of the existing hesitant fuzzy TOPSIS method are analyzed in detail. Then, based on the developed hesitant fuzzy ordered weighted averaging weighted averaging distance (HFOWAWAD) measure, a modified hesitant fuzzy TOPSIS, called HFOWAWAD-TOPSIS is introduced for hesitant fuzzy multiple attribute decision making problems. Moreover, the advantages and some special cases of the HFOWAWAD-TOPSIS are presented. Finally, a numerical example about energy policy selection is provided to illustrate the practicality and feasibility of the developed approach.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Method Based on Topsis and Distance Measures for Hesitant Fuzzy Multiple Attribute Decision Making

Zeng

Xiao

2018

Technological and Economic Development of Economy

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“…Similarly, a large number of other hesitant fuzzy aggregation operators were defined based on some basic aggregation operators, such as the hesitant fuzzy quasi-arithmetic aggregation operator 11 , hesitant fuzzy power geometric operators 10 , induced hesitant fuzzy aggregation operators 11 and hesitant fuzzy geometric Bonferroni means 12 . Especially, in order to alleviate the computational complexity, several improved aggregation principles were also proposed regarding HFSs 13,14,15 .…”

Section: Introductionmentioning

confidence: 99%

A Novel MAGDM Approach With Proportional Hesitant Fuzzy Sets

Xiong¹,

Chen²,

Chin³

2018

IJCIS

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In this paper, we propose an extension of hesitant fuzzy sets, i.e., proportional hesitant fuzzy sets (PHFSs), with the purpose of accommodating proportional hesitant fuzzy environments. The components of PHFSs, which are referred to as proportional hesitant fuzzy elements (PHFEs), contain two aspects of information provided by a decision-making team: the possible membership degrees in the hesitant fuzzy elements and their associated proportions. Based on the PHFSs, we provide a novel approach to addressing fuzzy multi-attribute group decision making (MAGDM) problems. Different from the traditional approach, this paper first converts fuzzy MAGDM (expressed by classical fuzzy numbers) into proportional hesitant fuzzy multi-attribute decision making (represented by PHFEs), and then solves the latter through the proposal of a proportional hesitant fuzzy TOPSIS approach. In this process, preferences of the decision-making team are calculated as the proportions of the associated membership degrees. Finally, a numerical example and a comparison are provided to illustrate the reliability and effectiveness of the proposed approach.

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“…It provides a parameterized family of aggregation operators that include as special cases the maximum, the minimum, and the average. Since its introduction, it has been studied and generalized by many authors . Recently, Merigó developed an interesting extension of the OWA, called the probabilistic OWA (POWA) operator.…”

Section: Introductionmentioning

confidence: 99%

Pythagorean Fuzzy Multiattribute Group Decision Making with Probabilistic Information and OWA Approach

Zeng

2017

Int. J. Intell. Syst.

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104

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The aim of this paper is to develop a Pythagorean fuzzy multiattribute group decision making (MAGDM) method based on probabilistic information and the ordered weighted averaging (OWA) approach. The Pythagorean fuzzy probabilistic ordered weighted averaging (PFPOWA) operator is presented. It is a new aggregation operator that considers the probabilities and the OWA in the same formulation. Therefore, it is able to take into account the degree of importance that each concept has in the particular problem considered. Some main properties and different particular cases of the PFPOWA operators are studied. Moreover, a method based on the proposed operator for multiattribute group decision making is put forward. Finally, an example showing analysis of a supplier selection is given to verify the effectiveness and practicability of the proposed method.

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A novel aggregation principle for hesitant fuzzy elements

Cited by 30 publications

References 24 publications

A Method Based on Topsis and Distance Measures for Hesitant Fuzzy Multiple Attribute Decision Making

A Method Based on Topsis and Distance Measures for Hesitant Fuzzy Multiple Attribute Decision Making

A Novel MAGDM Approach With Proportional Hesitant Fuzzy Sets

Pythagorean Fuzzy Multiattribute Group Decision Making with Probabilistic Information and OWA Approach

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