کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
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391147 | 661349 | 2007 | 16 صفحه PDF | دانلود رایگان |
The main aim of the investigation of hedge algebras is to discover an algebraic structure in the category of universal algebras of terms-domains of linguistic variables or to establish an algebraic approach to the semantic structure of terms-domains. The meaning of linguistic terms in general is vague, however vagueness is a concept which is difficult to be defined formally and reasonably. Motivated by introducing a mathematical foundation of qualitative and quantitative fuzziness of linguistic terms, this paper is aimed to introduce and investigate a completion of refined hedge algebras and obtain a class of complete ones. They will be defined by adding “limit” elements to refined hedge algebras in an axiomatization way. It is shown that a formal model of fuzziness of linguistic terms and hedges can be defined reasonably in this semantic structure and there is a closed relation between fuzziness of terms and semantic-based topology of these algebras.
Journal: Fuzzy Sets and Systems - Volume 158, Issue 4, 16 February 2007, Pages 436-451