Measuring effectiveness of movement-based three-way decision using fuzzy Markov model

In the trisecting-acting-outcome (TAO) model of three-way decision (3WD), the typical outcome measures approach is to estimate the difference before and after some strategies acted on the tripartition, regardless of whether it is good or bad. That is, it has not yet had the feature of strategy selection based on the prediction of outcomes. We employ fuzzy Markov to model the effectiveness prediction and analysis for the movement-based three-way decision (M-3WD) to solve this problem. In particular, this work first constructs a correspondence between the tripartition generated by each movement and the states in the Markov model. And then, we propose a fuzzy set represented by a trisection to deliver the satisfaction level of the decision-maker, whose three elements are (U) over tilde ((k))(+), (U) over tilde ((k))(similar to), (U) over tilde ((k))(-), corresponding to satisfied, uncertain, and unsatisfied. Further, the affiliation, relationship between the state-changing produced by each movement and the satisfaction set is defined as the strategy effectiveness index. With the help of the characteristics of the fuzzy Markov model, it predicts effectiveness, thus avoiding the execution of ineffective and low-efficiency strategies. Finally, we offer an example to illustrate the validity and foresight of the proposed approach. (c) 2022 Elsevier Inc. All rights reserved.

Automated summary

This study employs a fuzzy Markov model to predict and analyze the effectiveness of movement-based three-way decision, addressing the issue of strategy selection neglect in traditional approaches.