Feasible strategies for conflict resolution within intuitionistic fuzzy preference-based conflict situations

TL;DR

This paper introduces an intuitionistic fuzzy framework for conflict analysis in preference-based situations, enabling finer-grained modeling of agents' attitudes and proposing strategies for conflict resolution.

Contribution

It develops a novel intuitionistic fuzzy model for conflict analysis, extending classical preference models with new measures and strategies for conflict resolution.

Findings

The model captures attitudes with greater detail than classical models.

Proposed conflict measures effectively identify conflict levels.

Feasible strategies help in conflict resolution considering both conflict degree and adjustment magnitude.

Abstract

In three-way conflict analysis, preference-based conflict situations characterize agents' attitudes towards issues by formally modeling their preferences over pairs of issues. However, existing preference-based conflict models rely exclusively on three qualitative relations, namely, preference, converse, and indifference, to describe agents' attitudes towards issue pairs, which significantly limits their capacity in capturing the essence of conflict. To overcome this limitation, we introduce the concept of an intuitionistic fuzzy preference-based conflict situation that captures agents' attitudes towards issue pairs with finer granularity than that afforded by classical preference-based models. Afterwards, we develop intuitionistic fuzzy preference-based conflict measures within this framework, and construct three-way conflict analysis models for trisecting the set of agent pairs, the agent set, and the issue set. Additionally, relative loss functions built on the proposed conflict functions are employed to calculate thresholds for three-way conflict analysis. Finally, we present adjustment mechanism-based feasible strategies that simultaneously account for both adjustment magnitudes and conflict degrees, together with an algorithm for constructing such feasible strategies, and provide an illustrative example to demonstrate the validity and effectiveness of the proposed model.