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1.
Reducibility in hypergroups (crisp and fuzzy case)
Irina Cristea, 2015, published scientific conference contribution

Found in: ključnih besedah
Summary of found: ... fundamental relation, reduced hypergroup, fuzzy set...
Keywords: fundamental relation, reduced hypergroup, fuzzy set
Published: 30.08.2017; Views: 2816; Downloads: 0
.pdf Fulltext (300,72 KB)

2.
Symmetry in Classical and Fuzzy Algebraic Hypercompositional Structures
2020, scientific monograph

Found in: ključnih besedah
Summary of found: ...symmetry, hypergroup, hyperring, hyperfield, fundamental relation, rough set,fuzzy set, multiset, soft set,...
Keywords: symmetry, hypergroup, hyperring, hyperfield, fundamental relation, rough set, fuzzy set, multiset, soft set, hyperhomography, BCK-algebra, multiautomatom, artificial neuron, hypergraph
Published: 27.03.2020; Views: 1745; Downloads: 0
.pdf Fulltext (6,75 MB)

3.
Some open problems in hypercompositional algebra
Irina Cristea, 2020, published scientific conference contribution abstract (invited lecture)

Found in: ključnih besedah
Summary of found: ...hypergroup, hyperring, hyperfield, hypermodule, dependence relation, fundamental realtion, fuzzy reducibility...
Keywords: hypergroup, hyperring, hyperfield, hypermodule, dependence relation, fundamental realtion, fuzzy reducibility
Published: 23.06.2020; Views: 1727; Downloads: 0
.pdf Fulltext (646,95 KB)

4.
The Reducibility Concept in General Hyperrings
Irina Cristea, Milica Kankaraš, 2021, original scientific article

Found in: ključnih besedah
Summary of found: ...general hyperring, reducibility, fundamental relation, equivalence...
Keywords: general hyperring, reducibility, fundamental relation, equivalence
Published: 25.08.2021; Views: 850; Downloads: 34
.pdf Fulltext (302,45 KB)

5.
Semihypergroup-Based Graph for Modeling International Spread of COVID-n in Social Systems
Narjes Firouzkouhi, Reza Ameri, Abbas Amini, Hashem Bordbar, 2022, original scientific article

Abstract: Graph theoretic techniques have been widely applied to model many types of links in social systems. Also, algebraic hypercompositional structure theory has demonstrated its systematic application in some problems. Influenced by these mathematical notions, a novel semihypergroup based graph (SBG) of G = hH, Ei is constructed through the fundamental relation gn on H, where semihypergroup H is appointed as the set of vertices and E is addressed as the set of edges on SBG. Indeed, two arbitrary vertices x and y are adjacent if xgny. The connectivity of graph G is characterized by xg y, whereby the connected components SBG of G would be exactly the elements of the fundamental group H/g . Based on SBG, some fundamental characteristics of the graph such as complete, regular, Eulerian, isomorphism, and Cartesian products are discussed along with illustrative examples to clarify the relevance between semihypergroup H and its corresponding graph. Furthermore, the notions of geometric space, block, polygonal, and connected components are introduced in terms of the developed SBG. To formulate the links among individuals/countries in the wake of the COVID (coronavirus disease) pandemic, a theoretical SBG methodology is presented to analyze and simplify such social systems. Finally, the developed SBG is used to model the trend diffusion of the viral disease COVID-n in social systems (i.e., countries and individuals).
Found in: ključnih besedah
Summary of found: ...= hH, Ei is constructed through the fundamental relation gn on H, where semihypergroup H...
Keywords: graph theory, hypergroup, fundamental relation, social systems, geometric space
Published: 23.11.2022; Views: 194; Downloads: 0
.pdf Fulltext (4,16 MB)

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