A visibility graph power averaging aggregation operator: A methodology based on network analysis

Jiang, Wen; Wei, Boya; Zhan, Jun; Xie, Chunhe; Zhou, Deyun

doi:10.1016/j.cie.2016.09.009

Cited by 75 publications

(36 citation statements)

References 50 publications

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“…In the aggregation process, the support of other argument values functions as a sort of weight. The P‐A operator is widely applied to various fields such as information fusion and group decision making . This operator is useful for aggregation information, and it provides a unified framework for decision making under uncertain environment .…”

Section: Introductionmentioning

confidence: 99%

Intuitionistic Fuzzy Power Aggregation Operator Based on Entropy and Its Application in Decision Making

Jiang

Wei

Xiang³

et al. 2017

Int. J. Intell. Syst.

Self Cite

105

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Atanassov's intuitionistic fuzzy set (IFS) is a generalization of a fuzzy set that can express and process uncertainty much better. There are various averaging operators defined for IFSs. In this paper, a new type of operator called an intuitionistic fuzzy entropy weighted power average ggregation operator is proposed. The entropy among IFSs is taken into consideration to determine the weights. What's more, the similarity is considered to measure the support degree between two elements of the IFS. Compared with other classical power average operators, the proposed operator is completely driven by data and fully takes into account the relationship among values. Finally, an illustrative example of multiple attribute group decision making is presented to show that the proposed operator is effective and practical. C 2017 Wiley Periodicals, Inc.

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Section: Introductionmentioning

confidence: 99%

Intuitionistic Fuzzy Power Aggregation Operator Based on Entropy and Its Application in Decision Making

Jiang

Wei

Xiang³

et al. 2017

Int. J. Intell. Syst.

Self Cite

105

View full text Add to dashboard Cite

show abstract

“…1 Many math models such as ordered weighted averaging (OWA) operator, 2-5 power average operator, 6 and fuzzy sets 7 have been proposed and applied to risk assessment, [8][9][10][11] decision making, [12][13][14][15][16][17] uncertain measurement, 18,19 and optimization. [26][27][28][29][30] In the aggregation process, the support of other argument values functions as a sort of weight. As a result, interval number is usually used to give possible range of the value.…”

Section: Introductionmentioning

confidence: 99%

A New Interval Numbers Power Average Operator in Multiple Attribute Decision Making

Song

Jiang

Xie

et al. 2016

Int. J. Intell. Syst.

Self Cite

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How to fuse uncertain information in multiple attribute decision making (MADM) efficiently is still an open issue. The power average operation is an effective tool to aggregate interval data. However, existing methods to aggregate interval numbers based on power average operator are relatively complicated. In this paper, a simple and effective support function of interval data is proposed. Then, a novel interval number power average operation operator is presented. Finally, a practical MADM problem is used to show the efficiency of the developed method.

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“…The real world is very complicated; complex network is used to model the uncertainty and complexity [50][51][52][53][54]. Facility location problem can be seen as a network optimization [55].…”

Section: Problem Descriptionmentioning

confidence: 99%

Location of Facility Based on Simulated Annealing and “ZKW” Algorithms

Dong

Wang

Feng-hua

et al. 2017

Mathematical Problems in Engineering

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To cope with the facility location problem, a method based on simulated annealing and "ZKW" algorithm is proposed in this article. The method is applied to some real cases, which aims to deploy video content server at appropriate nodes in an undirected graph to satisfy the requirements of the consumption nodes with the least cost. Simulated annealing can easily find the optimum with less reliance on the initial solution. "ZKW" algorithm can find the shortest path and calculate the least cost from the server node to consumption node quickly. The results of three kinds of cases illustrate the efficiency of our method, which can obtain the optimum within 90 s. A comparison with Dijkstra and Floyd algorithms shows that, by using "ZKW" algorithm, the method can have large iteration with limited time. Therefore, the proposed method is able to solve this video content server location problem.

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A visibility graph power averaging aggregation operator: A methodology based on network analysis

Cited by 75 publications

References 50 publications

Intuitionistic Fuzzy Power Aggregation Operator Based on Entropy and Its Application in Decision Making

Intuitionistic Fuzzy Power Aggregation Operator Based on Entropy and Its Application in Decision Making

A New Interval Numbers Power Average Operator in Multiple Attribute Decision Making

Location of Facility Based on Simulated Annealing and “ZKW” Algorithms

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