Semantics of Vague Concepts
For many years vagueness understood as a deficiency of meaning has been the subject of investigations and many authors are engaged in this research. The present paper is an attempt to show that problems concerning semantics of vague concepts may find their proper foundation in the theory of rough sets originated by Pawlak (1982). We give a formal framework to what is considered to be different ways of making vague concepts precise and we describe semantics within this framework. Following the idea accepted by many logicians that reasoning in a language containing expressions representing vague concepts requires a special logic, we present a kind of modal logic suitable for deductions in the presence of vagueness.
KeywordsApproximation Space Positive Instance Negative Instance Vague Concept Vague Predicate
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