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Recent results in hyperring and hyperfield theory
This survey article presents some recent results in the theory of hyperfields and hyperrings, algebraic structures for which the sum of two elements is a subset of the structure.
Anastase Nakassis
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Interval-Valued General Residuated Lattice-Ordered Groupoids and Expanded Triangle Algebras
As an extension of interval-valued pseudo t-norms, interval-valued pseudo-overlap functions (IPOFs) play a vital role in solving interval-valued multi-attribute decision making problems.
Xiaohong Zhang, Rong Liang
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HIERARCHY OF ALGEBRAIC BAYESIAN NETWORK GLOBAL STRUCTURES AS A SYSTEM OF GRAPHS AND HYPERGRAPHS [PDF]
Algebraic Bayesian networks are logical and probabilistic graphical models which make it possible to perform logical and probabilistic inference for knowledge uncertainty formalized via scalar and interval truth values of propositional formulae.
A. A. Filchenkov
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The universal property of commutative algebras' internal crossed modules
In this work, we identify subobjects and ideals in the category of internal crossed modules, which provide a deeper understanding of the structure of these objects.
Elis Soylu Yılmaz
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SOFT UNION-THETA PRODUCT OF GROUPS [PDF]
Soft set theory provides a mathematically robust and algebraically versatile framework for modeling systems characterized by epistemic indeterminacy, vagueness, and parameter-dependent variability—features that pervade foundational inquiries in decision ...
Zeynep Ay, Aslıhan Sezgin
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An Algebraic Theory of Structured Objects
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Linguistics and Some Aspects of Its Underlying Dynamics
In recent years, central components of a new approach to linguistics, the Minimalist Program, have come closer to physics. In this paper, an interesting and productive isomorphism is established between minimalist structure, algebraic structures, and ...
Massimo Piattelli-Palmarini +1 more
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Algebraic structures and lattice properties of hypergraph Pre-Rough sets [PDF]
The study introduces and examines the concept of hypergraph pre-rough sets, which are developed by combining minimum soft descriptions with hypergraph structures.
Ganesan Gomathi +3 more
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On Möbius gyrogroup and Möbius gyrovector space
Gyrogroups are new algebraic structures that appeared in 1988 in the study of Einstein's velocity addition in the special relativity theory. These new algebraic structures were studied intensively by Abraham Ungar. The first gyrogroup that was considered
Kurosh Mavaddat Nezhaad, Ali Reza Ashrafi
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Some Innovative Types of Fuzzy Ideals in AG-Groupoids
AG-groupoids (non-associative structure) are basic structures in Flocks theory. This theory mainly focuses on distance optimization, motion replication, and leadership maintenance with a wide range of applications in physics and biology.
Khan Faiz Muhammad +4 more
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