The Choquet integral-based Shapley function for n-person cooperative games with probabilistic hesitant fuzzy coalitions

J Lin, Z Xu, Y Huang, R Chen - Expert Systems with Applications, 2023 - Elsevier
The use of probabilistic hesitant fuzzy elements (PHFEs) to represent the alliance status in
cooperative games can describe the player's participation levels and associated probability …

A Bayesian Monte Carlo method for computing the Shapley value: Application to weighted voting and bin packing games

S Touati, MS Radjef, S Lakhdar - Computers & Operations Research, 2021 - Elsevier
The Shapley value is one of the most important solution concepts in cooperative game
theory, it satisfies uniqueness and fairness properties while its main drawback lies in its high …

On Shapley value interpretability in concept-based learning with formal concept analysis

DI Ignatov, L Kwuida - Annals of Mathematics and Artificial Intelligence, 2022 - Springer
We propose the usage of two power indices from cooperative game theory and public
choice theory for ranking attributes of closed sets, namely intents of formal concepts (or …

A New Approach for Payoffs Distribution Based on Borda-MULTIMOORA Method Under q-Rung Interval-Valued Orthopair Fuzzy Environment

XF Ding, B Zhang - International Journal of Fuzzy Systems, 2024 - Springer
How to reasonably distribute the final payoffs to each enterprise alliance participating in
cooperation is one of the hottest issues in cooperative game problems. Notably, existing …

Programming models-based method for deriving profits allocation scheme with interval-valued cooperative games

J Li, LI Niu, J Liu, Q Chen, YJ Liu - Informatica, 2023 - informatica.si
Owing to the fact that the payoff of grand coalition is limited to players' allocation, what is
more, other players will not satisfy with the allocation scheme if one of the possible coalitions …

Interpretable concept-based classification with shapley values

DI Ignatov, L Kwuida - Ontologies and Concepts in Mind and Machine …, 2020 - Springer
Among the family of rule-based classification models, there are classifiers based on
conjunctions of binary attributes. For example, JSM-method of automatic reasoning (named …

Interval-valued n-person cooperative games with satisfactory degree constraints

J Li, J Wang, J Hu - Central European Journal of Operations Research, 2019 - Springer
The aim of this study is to develop several nonlinear programming models for interval-
valued cooperative games in which taking into account the decision makers' risk attitudes …

Values for level structures with polynomial-time algorithms, relevant coalition functions, and general considerations

M Besner - Discrete Applied Mathematics, 2022 - Elsevier
Exponential runtimes of algorithms for values for games with transferable utility like the
Shapley value are one of the biggest obstacles in the practical application of otherwise …

Shapley Values in Classification Problems with Triadic Formal Concept Analysis

MW Kemgne, BBK Njionou, L Kwuida… - … Joint Conference on …, 2024 - Springer
The JSM-method is a supervised classification method, used in machine learning. The JSM-
method has recently been used in Triadic Concept Analysis to classify objects. In this paper …

[PDF][PDF] A Note on Counting Basic Choice Functions with Formal Concept Analysis.

DI Ignatov - FCA4AI@ IJCAI, 2023 - inria.hal.science
The paper aims at not only counting how many basic choice functions exist on a finite set of
alternatives (all, non-empty, single-element valued) but shows how to do this with the help of …