Marginal contribution representation of capacity‐based multicriteria decision making

Wu, Jian‐Zhang; Beliakov, Gleb

doi:10.1002/int.22209

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2019

2024

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Cited by 9 publications

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“…The quantity of µ(A) is considered as the importance of A to the decision problem [37,38]. The nonadditivity is one of the explicit properties produced from monotonicity, which can be described through the following definition.…”

Section: Preliminariesmentioning

confidence: 99%

Nonadditivity Index Based Quasi-Random Generation of Capacities and Its Application in Comprehensive Decision Aiding

Huang

2020

Mathematics

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The capacity is a powerful tool with exponential coefficients to represent the interaction phenomenon among decision criteria, but its random generation becomes a tough issue for dealing with the monotonicity with all inclusion subsets as well as the complex constraints of decision preference. In this paper, we adopt a kind of explicit interaction index, the nonadditivity index, to construct two types of quasi-random generation methods of capacity under a given decision interaction preference. Compared to the existing random generation algorithms, the methods have relatively satisfactory performance on the statistics characteristic of generated capacities but need rather less calculation effort on the generation process. We also show the effectiveness of proposed quasi-random generation methods by an illustrative decision example.

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Section: Preliminariesmentioning

confidence: 99%