Accession Number : ADP002365

Title :   A Study of Fuzzy Relations and Their Inverse Problem,

Corporate Author : DUKE UNIV DURHAM NC DEPT OF ELECTRICAL ENGINEERING

Personal Author(s) : Togai,M. ; Wang,P. P.

Report Date : MAY 1983

Pagination or Media Count : 7

Abstract : This paper consists of two main topics relating to the fuzzy logic and reasoning: fuzzy implication and its inverse problem. Firstly, the characteristic difference of various types of implication functions will be analyzed by introducing two new relations: namely the joint relation and the conditional one. Secondly, a novel method to find upper and lower bounds of the solution of fuzzy inverse problem is introduced. In addition to the conventional man-min operation, we propose a new operation, namely p,omega-composition, to solve the problem effectively. Theorems concerning the bounds and the composite mappings of fuzzy sets are also presented. (Author)

Descriptors :   *Reasoning, *Mathematical logic, Set theory, *Symposia, Inversion, Logic, Operation

Distribution Statement : APPROVED FOR PUBLIC RELEASE