Search Results - "Šešelja, Branimir"
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Ω-groups in the language of Ω-groupoids
Published in Fuzzy sets and systems (15-10-2020)“…We introduce Ω-groups as particular Ω-groupoids, a structure with a single binary operation and an Ω-equality replacing the classical one. The membership…”
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2
Omega-rings
Published in Fuzzy sets and systems (15-03-2023)“…Omega rings (Ω-rings) and some special types of these structures (commutative, without zero divisors, Ω-fields,...) are introduced and investigated. Ω is a…”
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3
Trice-valued fuzzy sets: Mathematical model for three-way decisions
Published in Information sciences (01-01-2020)“…Under the idea to develop a mathematical model for three-way decisions, the aim of the paper is to study trice-valued fuzzy sets, i.e., mappings from a set to…”
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4
Nilpotent groups in lattice framework
Published in Algebra universalis (01-11-2024)“…In the framework of weak congruence lattices, many classes of groups have been characterized up to now, in completely lattice-theoretic terms. In this note,…”
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5
Solving linear equations by fuzzy quasigroups techniques
Published in Information sciences (01-07-2019)“…We deal with solutions of classical linear equations a·x=b and y·a=b, applying a particular lattice valued fuzzy technique. Our framework is a structure with a…”
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6
Lattices with normal elements
Published in Algebra universalis (01-02-2022)“…By several postulates we introduce a new class of algebraic lattices, in which a main role is played by so called normal elements. A model of these lattices…”
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7
L -fuzzy covering relation
Published in Fuzzy sets and systems (16-11-2007)“…We investigate lattice-valued ( L-fuzzy) covering, or fuzzy neighboring relation arising from a given lattice-valued order. We show that every L-fuzzy covering…”
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8
Cuts of poset-valued functions in the framework of residuated maps
Published in Fuzzy sets and systems (15-10-2020)“…We analyze cuts of poset-valued functions relating them to residuated mappings. Dealing with the lattice-valued case we prove that a function μ:X→L induces a…”
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9
Lattice characterization of finite nilpotent groups
Published in Algebra universalis (01-08-2021)“…The paper deals with subnormal and composition subgroups in the framework of weak congruence lattices of groups. Weak congruences of the composition subgroups…”
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10
Kernels of Residuated Maps as Complete Congruences in Lattices
Published in International journal of computational intelligence systems (01-01-2020)“…In a context of lattice-valued functions (also called lattice-valued fuzzy sets), where the codomain is a complete lattice L , an equivalence relation defined…”
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11
On the Uniqueness of Lattice Characterization of Groups
Published in Axioms (01-01-2023)“…We analyze the problem of the uniqueness of characterization of groups by their weak congruence lattices. We discuss the possibility that the same algebraic…”
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12
Omega Ideals in Omega Rings and Systems of Linear Equations over Omega Fields
Published in Axioms (01-08-2023)“…Omega rings (Ω-rings) (and other related structures) are lattice-valued structures (with Ω being the codomain lattice) defined on crisp algebras of the same…”
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13
Ω-Lattices
Published in Fuzzy sets and systems (15-03-2017)“…In the framework of Ω-sets, where Ω is a complete lattice, we introduce Ω-lattices, both as algebraic and as order structures. An Ω-poset is an Ω-set equipped…”
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14
On geometric posets and partial matroids
Published in Algebra universalis (01-08-2020)“…The aim of this paper is to extend the notions of geometric lattices, semimodularity and matroids in the framework of finite posets and related systems of…”
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15
Poset valued convexities
Published in Information sciences (01-09-2017)“…We analyze cut properties of lattice and poset valued functions (fuzzy sets) of n-dimensional real variable with respect to convexity. In the lattice valued…”
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16
E-fuzzy groups
Published in Fuzzy sets and systems (15-04-2016)“…An E-fuzzy group is a lattice-valued algebraic structure, defined on a crisp algebra which is not necessarily a group. The crisp equality is replaced by a…”
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17
Fuzzy identities with application to fuzzy semigroups
Published in Information sciences (10-05-2014)“…The notion of a fuzzy identity is introduced on a fuzzy subalgebra in the framework of fuzzy equalities instead of the crisp one. A fuzzy identity may be…”
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18
Fuzzy correspondence inequations and equations
Published in Fuzzy sets and systems (16-03-2014)“…The paper deals with fuzzy correspondences, i.e., with mappings from a direct product of sets into a complete lattice. Fuzzy control problems connected with…”
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19
Representation of lattices by fuzzy weak congruence relations
Published in Fuzzy sets and systems (01-02-2015)“…Fuzzy (lattice valued) weak congruences of abstract algebras are investigated. For an algebra, the family of all such fuzzy relations is a complete lattice;…”
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20
L-E-Fuzzy Lattices
Published in International journal of fuzzy systems (01-09-2015)“…A new definition of a fuzzy lattice ( L - E -fuzzy lattice) as a particular fuzzy algebraic structure is introduced in the framework of fuzzy equalities and…”
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