RT - Journal Article
T1 - Topological Structures Induced by General Fuzzy Automata Based on Lattice-ordered Monoid
JF - khu-mmr
YR - 2021
JO - khu-mmr
VO - 7
IS - 2
UR - http://mmr.khu.ac.ir/article-1-3162-en.html
SP - 177
EP - 190
K1 - General fuzzy automata
K1 - Monoid
K1 - Operator
K1 - Connected
K1 - Seperated
AB - The fundamental role of algebraic properties in the development of the basics of computer science has led researchers to study the concepts of fuzzy automaton separatedness, connectedness, and reversibility on a large scale.In this paper, the general fuzzy automaton is investigated from an algebraic and topological point of view and the algebraic properties of this automaton is studied on the basis of Lattice-ordered monoid.On the other hand, the general fuzzy automaton is examined using the concepts of operators.These operators help us in the algebraic study of general fuzzy automata and provide us the necessary basis for the application of topological concepts. For this purpose, considering the definition of general fuzzy automaton, we define the LB-valued general fuzzy automaton in which B is lattice-ordered monoid consisting of propositions about general fuzzy automaton. Further, we define the LB–valued interior and Kuratowski clouser operators on the set of these automaton modes and then introduce the topological structures resulting from the related operators. A noteworthy point in this study is to search for algebraic and topological concepts for general fuzzy automata based on lattice-ordered monoid which rely on dependent monoid structures. Finally, some of the connectedness and seperatedness properties of the general LB-value fuzzy automaton are examined in this study while the proposed concepts are illustrated in details through examples. ./files/site1/files/72/1Abstract.pdf
LA eng
UL http://mmr.khu.ac.ir/article-1-3162-en.html
M3 10.52547/mmr.7.2.177
ER -