Extension of VIKOR method for decision making problem based on hesitant fuzzy set

Zhang, Nian; Wei, Guiwu

doi:10.1016/j.apm.2012.10.002

Cited by 335 publications

(148 citation statements)

References 29 publications

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“…Copyright: the authorslems based on hesitant fuzzy sets, many hesitant fuzzy distance measures and aggregation operators have been proposed, such as the entropy of hesitant fuzzy sets and interval-valued hesitant fuzzy sets [6], generalized hesitant fuzzy synergetic weighted distance measure [14] and hesitant normalized Hamming, hesitant normalized Hausdorff distance and their generalizations [25]; interval-valued hesitant fuzzy aggregation operators [4], operations of generalized hesitant fuzzy sets according to score function and consistency function [15], hesitant fuzzy prioritized operators and hesitant interval-valued fuzzy aggregation operators [21,22], hesitant fuzzy ordered weighted averaging operator, hesitant fuzzy ordered weighted geometric operator and their generalization operators [24], TOPSIS and the maximizing deviation method with hesitant fuzzy information [26], the generalized hesitant fuzzy prioritized weighted average and generalized hesitant fuzzy prioritized weighted geometric operators [28], E-VIKOR method with hesitant fuzzy information for the multiple criteria decision making [31], hesitant fuzzy power aggregation operators [32], and hesitant fuzzy geometric Bonferroni means [33], etc. To deal with linguistic group decision making in hesitant situations, hesitant fuzzy linguistic term sets and corresponding with hesitant fuzzy linguistic aggregation have been proposed in [8-10, 16, 17, 23, 34].…”

Section: Co-published By Atlantis Press and Taylor And Francismentioning

confidence: 99%

A note on operations of hesitant fuzzy sets

Pei¹,

Liu²

2015

IJCIS

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In this paper, properties of operations and algebraic structures of hesitant fuzzy sets are investigated. Semilattices of hesitant fuzzy sets with union and intersection are discussed, respectively. By using ⊕ and ⊗ operators, the commutative monoid of hesitant fuzzy sets is provided, moreover, the lattice and distributive lattice of hesitant fuzzy sets are defined on the equivalence class of hesitant fuzzy sets. Based on the distributive lattice of hesitant fuzzy sets, the residuated lattices of hesitant fuzzy sets are constructed by residual implications, which are induced by intersection and ⊗, respectively. From the theoretical point of view, algebraic structures of hesitant fuzzy sets are useful for approximate reasoning and decision making to deal with hesitancy of information.

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Section: Co-published By Atlantis Press and Taylor And Francismentioning

confidence: 99%

A note on operations of hesitant fuzzy sets

Pei¹,

Liu²

2015

IJCIS

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“…We focus our attention on decision making problems where the evaluations of alternatives are cardinal. Therefore, we avoid ranking approaches consistent with ordinal data such as ELECTRE [26], QUALIFEX [27], TODIM [16], TOPSIS [28], VIKOR [29] and so forth. We classify the existing methodologies in two groups: methods based on scores for HFEs, and methods based on distances to ideal HFSs.…”

Section: Methodologies For Ranking Hesitant Fuzzy Setsmentioning

confidence: 99%

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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“…TOPSIS and VIKOR use distinct normalization techniques [7] and introduce some aggregating functions for ranking. Authors in [16] compared the extended VIKOR method with TOPSIS. In [17] presented a comparison of SAW, TOPSIS and VIKOR.…”

Section: Related Workmentioning

confidence: 99%

Rank Average for handover decision making in heterogeneous wireless networks

Driouache¹,

Naja²,

Jamali³

2018

ICST Transactions on Mobile Communications and Applications

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Vertical handover mechanism is an important issue in heterogeneous wireless networks. Continuity of service during handover and QoS are relevant issues to deal with. This paper focuses on vertical handover decision making. It proposes a Rank Average method for the best access network selection. This method is an aggregation of two Multi Attributes Decision Making (MADM) methods: Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) and VIse Kriterijumska Optimizacija kompromisno Resenja (VIKOR), together with Shannon entropy-based weights. Entropy is an adequate tool to weigh up the handover criteria in a quiet easy and straightforward way. Rank Average outperforms TOPSIS and VIKOR in terms of throughput, end to end delay, packet loss, and significantly reduces the number of unnecessary handovers related to the ping-pong effects. Performance results are obtained within the scope of MIH through NS3 simulator.

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Extension of VIKOR method for decision making problem based on hesitant fuzzy set

Cited by 335 publications

References 29 publications

A note on operations of hesitant fuzzy sets

A note on operations of hesitant fuzzy sets

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

Rank Average for handover decision making in heterogeneous wireless networks

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