Fuzzy finite automata and fuzzy regular expressions with membership values in lattice-ordered monoids

Y Li, W Pedrycz - Fuzzy sets and systems, 2005 - Elsevier
We study fuzzy finite automata in which all fuzzy sets are defined by membership functions
whose codomain forms a lattice-ordered monoid L. For these L-fuzzy finite automata (L-FFA …

[图书][B] Fuzzy relational calculus: theory, applications and software (with CD-ROM)

K Peeva, Y Kyosev - 2004 - books.google.com
This book examines fuzzy relational calculus theory with applications in various engineering
subjects. The scope of the text covers unified and exact methods with algorithms for direct …

Дискретная математика

АИ Белоусов, СБ Ткачев - 2021 - elibrary.ru
В девятнадцатом выпуске серии «Математика в техническом университете» изложены
теория множеств и отношений, элементы современной абстрактной алгебры, теория …

Automata theory based on complete residuated lattice-valued logic: Reduction and minimization

L Wu, D Qiu - Fuzzy Sets and Systems, 2010 - Elsevier
Automata theory based on complete residuated lattice-valued logic, called L-valued finite
automata (L-VFAs), has been established by Qiu recently. In this paper, we define a kind of …

Minimization of states in automata theory based on finite lattice-ordered monoids

H Lei, Y Li - Information Sciences, 2007 - Elsevier
In this study, we consider a concept of complete L-fuzzy matrix, define complete lattice-
valued finite automata (CLFAs) and study their properties. The definitions of statewise …

The relationships among several types of fuzzy automata

Z Li, P Li, Y Li - Information Sciences, 2006 - Elsevier
We discuss the relationships among several types of fuzzy automata in which all fuzzy sets
are defined by membership functions whose codomains are a lattice-ordered monoid L …

On the state minimization of fuzzy automata

L Li, D Qiu - IEEE Transactions on Fuzzy Systems, 2014 - ieeexplore.ieee.org
This paper investigates the minimization problem of fuzzy automata, aiming to obtain a
procedure for finding a minimal state fuzzy automaton equivalent to a given one. The …

Equivalence in automata theory based on complete residuated lattice-valued logic

H Xing, D Qiu, F Liu, Z Fan - Fuzzy Sets and Systems, 2007 - Elsevier
Automata theory based on complete residuated lattice-valued logic, called L-valued finite
automata (abbr. L-VFAs), was introduced by the second author in 2001. In this paper we …

Bisimulation for BL-general fuzzy automata

In this note, we define BISIMULATION for GENERAL FUZZY AUTOMATA/fa? page= 1&sort=
1&ftyp= all&fgrp= all&fyrs= all" target=" _blank"> BL-GENERAL FUZZY AUTOMATA and …

On reduced fuzzy multiset finite automata

M Shamsizadeh, MM Zahedi - Soft Computing, 2022 - Springer
This study aimed to examine deterministic FMFA, complete FMFA, and accessible FMFA,
using the definition of fuzzy multiset finite automaton (FMFA). We show that a fuzzy multiset …