Solution algorithms for fuzzy relational equations with max-product composition

✍ Scribed by Mary M. Bourke; D.Grant Fisher

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 555 KB
• Volume: 94
• Category: Article
• ISSN: 0165-0114
• DOI: 10.1016/s0165-0114(96)00246-1

✦ Synopsis

The conditions for the existence of an inverse solution to the max-rain composition of fuzzy relational equations have been well documented since the original work by Sanchez . These same existence theorems have been extended to the t-norm composition of relational equations, in which the max-product composition is a member . Several studies 33, have shown that the max-min operator may not always be the most desirable fuzzy relational composition and in fact the max-product operator was superior in these instances. This paper reviews the algorithms necessary to determine the complete solution of the inverse for fuzzy relational equations with max-product composition. (d;