A normalized distribution mechanism under multi-criteria situations and fuzzy behavior

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Liao Y. H.

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Journal Paper

Paper Information

Journal: Iranian Journal of Fuzzy Systems Year:2021 | Volume:18 | Issue:6 Page(s): 119-131

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Information Journal Paper

Title

A normalized distribution mechanism under multi-criteria situations and fuzzy behavior

Author(s)

Liao Y. H. | Issue Writer Certificate

Keywords

Multi-criteria situationQ2

reduced gameQ2

excess functionQ2

dynamic processQ2

Abstract

In general, agents always face an increasing need to focus on multiple aims e ciently under their operational processes. However, agents might take di erent activity levels to participate and might represent administrative areas of di erent scales. Therefore, this paper proposes a normalized index considering Multi-criteria situations and supremeutilities among fuzzy activity level (decision, strategy) vectors. Three existing notions of traditional game theory are reinterpreted in the framework of multi-criteria fuzzy transferable utility games. First, the normalized index could be represented as an alternative formulation in terms of excess functions. Second, an axiomatic result is proposed to present the rationality of this normalized index based on the reduced game and related consistency. Finally, two dynamic processes are introduced to illustrate that this normalized index could be reached by agents who start from an arbitrary e cient payo vector and make successive adjustments.

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APA: Copy

Liao, Y. H.. (2021). A normalized distribution mechanism under multi-criteria situations and fuzzy behavior. IRANIAN JOURNAL OF FUZZY SYSTEMS, 18(6 ), 119-131. SID. https://sid.ir/paper/412597/en

Vancouver: Copy

Liao Y. H.. A normalized distribution mechanism under multi-criteria situations and fuzzy behavior. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2021;18(6 ):119-131. Available from: https://sid.ir/paper/412597/en

IEEE: Copy

Y. H. Liao, “A normalized distribution mechanism under multi-criteria situations and fuzzy behavior,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 18, no. 6 , pp. 119–131, 2021, [Online]. Available: https://sid.ir/paper/412597/en

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