Abstract
Three-way decisions, as a general model for uncertain information processing and decisions, mainly utilize the threshold generated by the decision cost matrix to determine the decision category of the object. However, the determination of the threshold is usually accompanied by varying degrees of subjectivity. In addition, the potential symmetrical relationship between the advantages and disadvantages of the decision cost is also a problem worthy of attention. In this study, we propose a novel intuitionistic fuzzy three-way decision (IFTWD) model based on a three-way granular computing method. First, we present the calculation methods for the possibility of membership state and non-membership state, as well as prove the related properties. Furthermore, we investigate the object information granules, i.e., the fine-grained, medium-grained, and coarse-grained objects, by combining the state probability distribution and probability distribution. Then, for decision and evaluation issues, we define the superiority-compatibility relation and inferiority-compatibility relation for IFTWD model construction. In addition, we use the superiority degree and inferiority degree instead of the original thresholds and design a new method for evaluating decision cost. Finally, we focus on the algorithm research of the proposed model and present an empirical study of agricultural ecological investment in Hubei Province to demonstrate the effectiveness of our model.
Highlights
Pawlak proposed the rough set theory [1], which rapidly attracted the attention of scholars and was successfully applied to machine learning [2,3], formal concept analysis [4,5,6], knowledge engineering [7,8], granular computing [9,10], etc
Yao [51] introduced the idea of three-way decisions into granular computing and proposed the three-way granular computing model, as well as gave a framework of trisecting-acting-outcome (TAO)
The TAO model is a generalized framework for three-way granular computing
Summary
Pawlak proposed the rough set theory [1], which rapidly attracted the attention of scholars and was successfully applied to machine learning [2,3], formal concept analysis [4,5,6], knowledge engineering [7,8], granular computing [9,10], etc. Yao [51] introduced the idea of three-way decisions into granular computing and proposed the three-way granular computing model, as well as gave a framework of trisecting-acting-outcome (TAO). References [52,53] further elaborate the TAO model in detail and explain the concept of tri-level thinking These studies have enriched the connotation of granular computing and provided excellent ideas and orientations for its development. The main purpose of this investigation is to construct an intuitionistic fuzzy three-way decision model through the three-way granular computing method.
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