[Home ] [Archive]   [ فارسی ]  
:: Search Submit Contact ::
:: Volume 7, Issue 2 (Vol.7, No. 2, Summer 2021) ::
mr 2021, 7(2): 177-190 Back to browse issues page
Topological Structures Induced by General Fuzzy Automata Based on Lattice-ordered Monoid
Khadijeh Abolpour
Dept. of Math., Shiraz Branch, Islamic Azad University, Shiraz, Iran , abolpor_kh@yahoo.com
Abstract:   (180 Views)
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
Keywords: General fuzzy automata, Monoid, Operator, Connected, Seperated
Full-Text [PDF 738 kb]   (54 Downloads)    
Type of Study: Original Manuscript | Subject: Mat
Received: 2021/01/2 | Accepted: 2021/02/24 | Published: 2021/09/1 | ePublished: 2021/09/1
Send email to the article author

Add your comments about this article
Your username or Email:

CAPTCHA


XML   Persian Abstract   Print


Download citation:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:

abolpour K. Topological Structures Induced by General Fuzzy Automata Based on Lattice-ordered Monoid. mr. 2021; 7 (2) :177-190
URL: http://mmr.khu.ac.ir/article-1-3162-en.html


Rights and permissions
Creative Commons License This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Volume 7, Issue 2 (Vol.7, No. 2, Summer 2021) Back to browse issues page
پژوهش‌های ریاضی Mathematical Researches
Persian site map - English site map - Created in 0.06 seconds with 30 queries by YEKTAWEB 4338