Affiliation:
1. Faculty of Sciences and Mathematics, Department of Computer Science, Niš
Abstract
In this paper we provide procedures for testing the existence of various
types of generalized inverses in involutive residuated semigroups and
involutive quantales defined by the Moore-Penrose equations, and for
computing the extreme inverses whenever they exist. We also determine
certain instances when a? = a*, whenever a? exists. The obtained results can
be applied to a wide class of quantales of fuzzy relations and fuzzy
matrices, as well as to Gelfand quantales.
Publisher
National Library of Serbia
Cited by
5 articles.
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