Topological Structures Induced by General Fuzzy Automata Based on Lattice-ordered Monoid
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...
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| Format: | Article |
| Language: | fas |
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Kharazmi University
2021-09-01
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| Series: | پژوهشهای ریاضی |
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| Online Access: | http://mmr.khu.ac.ir/article-1-3162-en.html |
| _version_ | 1797871630896070656 |
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| author | khadijeh abolpour |
| author_facet | khadijeh abolpour |
| author_sort | khadijeh abolpour |
| collection | DOAJ |
| description | 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 |
| first_indexed | 2024-04-10T00:46:54Z |
| format | Article |
| id | doaj.art-2265bdae6dc0422394936d11fd16bc79 |
| institution | Directory Open Access Journal |
| issn | 2588-2546 2588-2554 |
| language | fas |
| last_indexed | 2024-04-10T00:46:54Z |
| publishDate | 2021-09-01 |
| publisher | Kharazmi University |
| record_format | Article |
| series | پژوهشهای ریاضی |
| spelling | doaj.art-2265bdae6dc0422394936d11fd16bc792023-03-13T19:22:49ZfasKharazmi Universityپژوهشهای ریاضی2588-25462588-25542021-09-0172177190Topological Structures Induced by General Fuzzy Automata Based on Lattice-ordered Monoidkhadijeh abolpour0 Dept. of Math., Shiraz Branch, Islamic Azad University, Shiraz, Iran 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.pdfhttp://mmr.khu.ac.ir/article-1-3162-en.htmlgeneral fuzzy automatamonoidoperatorconnectedseperated |
| spellingShingle | khadijeh abolpour Topological Structures Induced by General Fuzzy Automata Based on Lattice-ordered Monoid پژوهشهای ریاضی general fuzzy automata monoid operator connected seperated |
| title | Topological Structures Induced by General Fuzzy Automata Based on Lattice-ordered Monoid |
| title_full | Topological Structures Induced by General Fuzzy Automata Based on Lattice-ordered Monoid |
| title_fullStr | Topological Structures Induced by General Fuzzy Automata Based on Lattice-ordered Monoid |
| title_full_unstemmed | Topological Structures Induced by General Fuzzy Automata Based on Lattice-ordered Monoid |
| title_short | Topological Structures Induced by General Fuzzy Automata Based on Lattice-ordered Monoid |
| title_sort | topological structures induced by general fuzzy automata based on lattice ordered monoid |
| topic | general fuzzy automata monoid operator connected seperated |
| url | http://mmr.khu.ac.ir/article-1-3162-en.html |
| work_keys_str_mv | AT khadijehabolpour topologicalstructuresinducedbygeneralfuzzyautomatabasedonlatticeorderedmonoid |