关键词: 决策信息系统, 决策软集, 软逻辑公式, 软决策规则, 软真度, 推荐算法

Abstract: The concept of soft propositional logic formula based on a soft set is introduced, and the semantic interpretation of soft propositional logic formula is given. A parameter in the soft set is an atomic formula, and the function value of parameter is the valued set of atomic formula. A decision information system is transformed into a decision soft set, and a decision rule is expressed as an implication logic formula composed of some atomic formulas. Some concepts, such as basic soft truth degree, condition soft truth degree and absolute soft truth degree, etc, are introduced. These concepts evaluate the decision rule from adequacy, necessity and rationality, etc. An extraction algorithm of typical decision rules based on the decision soft set is proposed. The analysis of decision rule based on decision soft set is applied to intelligent recommendation, and a recommendation algorithm based on the soft decision analysis is proposed. The practical examples and numerical experiments show that the algorithms are effective.

Key words: decision information system, decision soft set, soft logic formula, soft decision rule, soft truth degree, recommendation algorithm