https://orcid.org/0000-0002-8686-6942
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ABSTRACT
This paper, applies the concept of KM-fuzzy metric spaces and introduces a novel concept of KM-fuzzy metric hypergraphs based on KM-fuzzy metric spaces. In special cases, we add some conditions to axioms of KM-fuzzy metric hypergraphs(to obtain of elementary hypergraphs, C-accessible hypergraphs, Cor-able hypergraphs, fuzzy hypergraphs) and so obtain locally strong KM-fuzzy metric hypergraphs and strong KM-fuzzy metric hypergraphs. This study, investigates on the finite KM-fuzzy metric spaces with respect to metrics, KM-fuzzy metrics and constructs KM-fuzzy metric spaces on any given non-empty sets. It tries to extend the concept of KM-fuzzy metric spaces to union of KM-fuzzy metric spaces and product of KM-fuzzy metric spaces and in this regard investigates on union and product of KM-fuzzy metric hypergraphs.
Disclosure statement
No potential conflict of interest was reported by the author(s).
Additional information
Notes on contributors
Mohammad Hamidi
Mohammad Hamidi was born in Vidouja Village, Kashan, Isfahan, Iran in 1979. He received the B.S. degrees in mathematics from the University of Kashan, Kashan, in 2002, the M.S. degrees in mathematics (algebra) from the Isfahan University of Technology, Isfahan in 2005 and the Ph.D. degree in in mathematics (algebras and hyperalgebras and fuzzy logic) from Tehran Payame Noor University, Tehran, in 2014. From 2002 to 2005, he was a Research Assistant with the Mathematics University. Since 2014, he has been an Assistant Professor with the Mathematics Department, Payame Noor University of Tehran. Since 2019, he has been an Associate Professor with the Mathematics Department, Payame Noor University of Tehran. He is the author of two books, more than 70 articles, and more than 3 research projecst. His research interests include applications of fuzzy graph and single valued veutrosophic graphs in hypernetworks and complex hypernetworks such as Wireless sensor networks.
Sirus Jahanpanah
Sirus Jahanpanah was born in bavaryan Village, roozabad, fars, Iran in 1977. He received the B.S. degrees in mathematics from the University of Shiraz, Shiraz, in 2002, the M.S. degrees in mathematics (algebra) from the University of shiraz, shiraz in 2006 and the Ph.D. student in mathematics (algebras and hyperalgebras and fuzzy logic) at the Tehran Payame Noor University, Tehran . Since 2007, he has been an Instructor with the Mathematics Department, Payame Noor University of Fars. He is the author of two books, more than 7 articles, and more than 4 research projecst.
Akefe Radfar
Akefe Radfar was born in Isfahan, Iran in 1977. She received the B.S. degrees in mathematics from the University of Isfahan, Isfahan, in 1999, the M.S. degrees in mathematics (algebra) from the Shahrekord University of Shahrekord, in 2005 and the Ph.D. degree in mathematics (algebras and hyperalgebras and fuzzy logic) from Tehran Payame Noor University, Tehran, in 2011. From 2008 to 2010, she was a Research Assistant with the Mathematics University. Since 2010, she has been an Assistant Professor with the Mathematics Department, Payame Noor University of Tehran. she has more than 30 articles.