Set-theoretic models of three-way decision

作者: Yiyu Yao

DOI: 10.1007/S41066-020-00211-9

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摘要: The theory of three-way decision is about a philosophy thinking in threes, methodology working with and mechanism processing threes. We approach whole through three parts, terms units, or from perspectives. A trisecting–acting–outcome (TAO) model involves trisecting into parts acting on the order to produce an optimal outcome. In this paper, we further explore TAO set-theoretic setting make new contributions. first contribution examination nonstandard sets for representing concepts under two kinds objective/ontic subjective/epistemic uncertainty. second introduction evaluation-based framework decision. present classification trisections investigate notion evaluation space. third is, within proposed framework, systematical study rough sets, interval fuzzy shadowed (or equivalently, vague interval-valued intuitionistic sets), soft sets.

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