Expert systems: knowledge, uncertainty, and decision
Expert systems: knowledge, uncertainty, and decision
Fuzzy sets and fuzzy logic: theory and applications
Fuzzy sets and fuzzy logic: theory and applications
Rough Sets: Theoretical Aspects of Reasoning about Data
Rough Sets: Theoretical Aspects of Reasoning about Data
Rough Sets and Data Mining: Analysis of Imprecise Data
Rough Sets and Data Mining: Analysis of Imprecise Data
Rough sets and intelligent data analysis
Information Sciences—Informatics and Computer Science: An International Journal
Modal Logics for Knowledge Representation Systems
Proceedings of the Symposium on Logical Foundations of Computer Science: Logic at Botik '89
Rough Logic for Multi-Agent Systems
International Conference Logic at Work on Knowledge Representation and Reasoning Under Uncertainty, Logic at Work
Variable precision rough set for group decision-making: An application
International Journal of Approximate Reasoning
Information Sciences: an International Journal
A new theory consistency index based on deduction theorems in several logic systems
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Some rough consequence logics and their interrelations
Transactions on rough sets VIII
Rough implication operator based on strong topological rough algebras
Information Sciences: an International Journal
An interval set model for learning rules from incomplete information table
International Journal of Approximate Reasoning
An efficient rough feature selection algorithm with a multi-granulation view
International Journal of Approximate Reasoning
Rough Truth Degrees of Formulas and Approximate Reasoning in Rough Logic
Fundamenta Informaticae
Rough Sets and 3-valued Lukasiewicz Logic
Fundamenta Informaticae
Rough Sets Through Algebraic Logic
Fundamenta Informaticae
Incorporating logistic regression to decision-theoretic rough sets for classifications
International Journal of Approximate Reasoning
Multigranulation decision-theoretic rough sets
International Journal of Approximate Reasoning
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This paper is mainly devoted to establishing a kind of graded reasoning method in the context of rough logic. To this end, a weak form of deduction theorem in rough logic is firstly obtained, then, based upon the weak deduction theorem and the notion of rough truth degree, a new kind of graded reasoning method in rough logic is presented. Moreover, to embody the idea of rough approximations, the notions of graded rough upper consequence and graded rough lower consequence are also proposed, which can be treated as the logical counterpart of rough upper and lower approximation, respectively. Compared with the existing graded reasoning method, the proposed method in the present paper does not employ the notion of rough similarity degree, and hence their fundamental starting points are different, however, they are also closely related, accordingly, a comparative study is performed between these two different graded reasoning methods. Lastly, based on the proposed graded reasoning method, the notions of rough (upper, lower) consistency degree are also proposed and their properties are investigated in detail.