Email this article Linguistic Variables of Type-N. A Mathematical Model
Abstract
- Abstract: This work proposes a generalization for the notions of Linguistic Variables and Fuzzification Process. The idea is to provide a concept of fuzzy systems in which the linguistic terms of a linguistic variable are not necessarily connected with fuzzy sets of the same type. Those systems are called here Systems of Type-n. We introduce concepts like n-Homogeneous linguistic variables which emphasizes the ocurrence of different levels of uncertainty in such Fuzzy systems. The most important result is the statement of the General Fuzzification Expression (GFE) which establishes how the fuzzification process must be calculated in every system of type-n.
- Resumo: Este trabalho propõe a generalização das noções de Variáveis Lingüísticas e do Processo de Fuzzificação. A idéia é fornecer um conceito de sistemas fuzzy no qual os termos lingüísticos de uma variável lingística estejam, não necessariamente, ligados a conjuntos fuzzy de mesmo tipo. Tais sistemas serão chamados Sistema de Tipo-n. Nós introduzimos conceitos como Variáveis Lingüísticas n-Homogêneas que enfatizam a ocorrência de diferentes níveis de incerteza em tais Sistemas Fuzzy. O resultado mais importante é a proposição da Expressão de Fuzzificação Geral (GFE) que estabelece como o processo de fuzzificação deve ser calculado em qualquer sistema de tipo-n.
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DOI: https://doi.org/10.5540/tema.2011.012.01.0021
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Trends in Computational and Applied Mathematics
A publication of the Brazilian Society of Applied and Computational Mathematics (SBMAC)
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