Some Hesitant Fuzzy Aggregation Operators with Their Application in Group Decision Making

Mao, Xia; Zhang, Xu; Chen, Na

doi:10.1007/s10726-011-9261-7

Cited by 375 publications

(161 citation statements)

References 39 publications

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“…Table 9 collects the rankings obtained by four known methodologies on the data of Table 7. Here we follow the approach suggested by Xia and Xu [7] and Xia et al [17]. In order to rank HFSs, in [7,Section 4] the authors propose to use a GHFWA λ operator (generalized hesitant fuzzy weighted averaging operator, which requires to fix a weight vector and depends on a λ factor) in order to aggregate HFEs.…”

Section: Comparison With Other Existing Methodsologies and Discussionmentioning

confidence: 99%

“…Within the extended field of Hesitancy in Fuzzy Sets, application papers that contribute to multicriteria decision making include [7], [10], [11], [12], [13], [14], [15] and [16]. Multiexpert multicriteria decision making under this requirement has been explored by Xia et al [17] or Tan et al [18] among others. Rodríguez et al [9], Section 7, emphasize that "a new trend is the application of the theoretical models to real problems".…”

Section: Introductionmentioning

confidence: 99%

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Hesitant Fuzzy Worth: An innovative ranking methodology for hesitant fuzzy subsets

Alcantud

Calle

Torrecillas

2016

Applied Soft Computing

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We introduce a novel methodology for ranking hesitant fuzzy sets. It builds on a recent, theoretically sound contribution in Social Choice. In order to justify the applicability of such analysis, we develop two real implementations: (i) new metarankings of world academic institutions that build on real data from three reputed agencies, and (ii) a new procedure for improving teaching performance assessments which we illustrate with real data collected by ourselves. These applications provide new grounds for the theoretical model by hesitant fuzzy sets.

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Section: Comparison With Other Existing Methodsologies and Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Hesitant Fuzzy Worth: An innovative ranking methodology for hesitant fuzzy subsets

Alcantud

Calle

Torrecillas

2016

Applied Soft Computing

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show abstract

“…Since the proposal of the concept, it has attracted much attention of researchers in related fields [26][27][28][29][30][31].…”

Section: Introductionmentioning

confidence: 99%

A Hesitant Fuzzy Linguistic Multicriteria Decision‐Making Method with Interactive Criteria and Its Application to Renewable Energy Projects Selection

Xiao

Cai

Wang

2017

Mathematical Problems in Engineering

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A variety of multicriteria decision-making (MCDM) methods for renewable energy projects evaluation have been proposed, of which the premise of using these methods is to assume that the criteria are independent of each other. However, it may be difficult or costly to build independent criteria set in some cases because renewable energy planning is to pursue a balance of economic, social, and environmental goals, which makes the existence of interaction among criteria be of great possibility. In this paper, we consider a highly ambiguous decision situation, where the experts are allowed to give the evaluations in the form of hesitant fuzzy linguistic terms set (HFLTS). We build a hesitant fuzzy linguistic decision-making model handling the interaction among criteria from the perspective of distance measure and apply it to renewable energy projects selection. The proposed method can consider more fuzzy factors and deal with the interaction among criteria more approximately. It can reduce the decision pressure and improve the decision-making efficiency because the decision makers are allowed to express their preference in form of HFLTS and a decision criteria set of which the criteria are independent of each other is not necessary.

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“…For instance, if we consider that a group of indistinguishable experts must provide a membership degree for an element of the universe and there is not a consensus, it seems more appropriate to consider the set of possible values that takes into account the opinion of all experts. Many researches in decision making have used HFS theory (see for example [12,22,23,24]). In particular, several weighted average and ordered weighted average (OWA)-like operators have been proposed to be used in decision making (as we can see in [6,23,30]).…”

Section: Introductionmentioning

confidence: 99%

Construction of Typical Hesitant Triangular Norms regarding Xu-Xia-partial Order

Santos¹,

Bedregal²,

Santiago³

et al. 2015

Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and

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Fuzzy Sets theory has been applied in many fields to handle uncertainty, which can be reflected on the membership degree of the objects belonging to a set. Moreover, Hesitant Fuzzy Sets are useful whenever there is indecision among several possible values for the preferences over objects in the process of decision-making. In this sense, the aim of this work is to consider the notion of aggregation functions regarding Xu-Xia-partial order for typical hesitant fuzzy elements and to study Typical Hesitant Triangular Norms and some of the properties usually demanded to such operator.

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Some Hesitant Fuzzy Aggregation Operators with Their Application in Group Decision Making

Cited by 375 publications

References 39 publications

Hesitant Fuzzy Worth: An innovative ranking methodology for hesitant fuzzy subsets

Hesitant Fuzzy Worth: An innovative ranking methodology for hesitant fuzzy subsets

A Hesitant Fuzzy Linguistic Multicriteria Decision‐Making Method with Interactive Criteria and Its Application to Renewable Energy Projects Selection

Construction of Typical Hesitant Triangular Norms regarding Xu-Xia-partial Order

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