A Study of Fuzzy Relations and Their Inverse Problem,
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1983
- Accession Number
- ADP002365
Entities
People
- M. Togai
- P. P. Wang
Organizations
- Duke University