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Any conceptual computer or computing with words (CW) system is expected to represent its results with a reasonable output, such as a sentence in natural language. A CW system is required to translate the fuzzy values provided as its result into words. This paper explores different similarity measures as well as linguistic approximation methods for generating natural language sentences for CW systems...
Fuzzy models offer a convenient way to describe complex and nonlinear systems. Fuzzy relational equations, viewed as a certain class of fuzzy models, play a pivotal role in fuzzy modeling. Their theory supports ways in which these equations could be solved and offers a characterization of the resulting families of solutions. Assuming that the corresponding relational equation or a system of relational...
In multi-criteria decision analysis problems, attributes are criteria with preference-ordered scales and the decision classes are also preference-ordered. Dominance-based rough set approach is an extension of classic rough set approach, which taking into account the ordering properties of criteria. Set-valued decision system is a generalized model of single-valued decision system. Knowledge from decision...
We study higher order Takagi-Sugeno fuzzy systems from the point of view of their approximation capability. Higher order Takagi-Sugeno fuzzy systems have the output of each individual rule defined as polynomials of a certain degree. In the present paper the individual rule outputs are Taylor polynomials. Under very relaxed conditions both on the target function and the fuzzy sets in the antecedent...
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