Results 21 to 30 of about 2,333 (139)

Additively idempotent matrix semirings

Journal of Algebra and Its Applications, 2023
Let [Formula: see text] be an additively idempotent semiring and [Formula: see text] be the semiring of all [Formula: see text] matrices over [Formula: see text]. We characterize the conditions of when the semiring [Formula: see text] is congruence-simple provided that the semiring [Formula: see text] is either commutative or finite.
Kepka, Tomáš, Korbelář, Miroslav
openaire   +2 more sources

Tropical Cryptography Based on Multiple Exponentiation Problem of Matrices

Security and Communication Networks, Volume 2022, Issue 1, 2022., 2022
Because there is no multiplication of numbers in tropical algebra and the problem of solving the systems of polynomial equations in tropical algebra is NP‐hard, in recent years some public key cryptography based on tropical semiring has been proposed. But most of them have some defects. This paper proposes new public key cryptosystems based on tropical
Huawei Huang, Chunhua Li, Zhili Zhou
wiley   +1 more source

Analysis of T‐Spherical Fuzzy Matrix and Their Application in Multiattribute Decision‐Making Problems

Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022
The aim of this study is to introduce an innovative concept of T‐spherical fuzzy matrix, which is a hybrid structure of fuzzy matrix and T‐spherical fuzzy set. This article introduces the square T‐spherical fuzzy matrix and constant T‐spherical fuzzy matrix and discusses related properties.
Harish Garg, Muhammad Saad, Ayesha Rafiq, A. M. Bastos Pereira   +3 more
wiley   +1 more source

A Generalized Decision‐Making Technique Based on Bipolar‐Valued Multivague Soft Sets

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
The decision‐making technique, launched by Roy and Maji, is considered an effective method to overcome uncertainty and fuzziness in decision‐making problems, though, adapting it to reflect the problem parameters’ vagueness, as well as multibipolarity, is very difficult. So, in this article, the bipolarity is interpolated into the multivague soft set of
Hanan H. Sakr, Abdisalam Hassan Muse, Ramy Aldallal, Muhammad Gulzar   +3 more
wiley   +1 more source

Neutrosophic Semiopen Hypersoft Sets with an Application to MAGDM under the COVID‐19 Scenario

Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021
Hypersoft set is a generalization of soft sets, which takes into account a multiargument function. The main objective of this work is to introduce fuzzy semiopen and closed hypersoft sets and study some of their characterizations and also to present neutrosophic semiopen and closed hypersoft sets, an extension of fuzzy hypersoft sets, along with few ...
D. Ajay, J. Joseline Charisma, N. Boonsatit, P. Hammachukiattikul, G. Rajchakit, Broumi Said   +5 more
wiley   +1 more source

One-sided complements and solutions of the equation aXb=c in semirings

International Journal of Mathematics and Mathematical Sciences, 2002
Given multiplicatively-regular elements a and b in a semiring R, and given an element c of R, we find a complete set of solutions to the equation aXb=c. This result is then extended to equations over matrix semirings.
Sam L. Blyumin, Jonathan S. Golan
doaj   +1 more source

Linear Systems over Join-Blank Algebras [PDF]

, 2017
A central problem of linear algebra is solving linear systems. Regarding linear systems as equations over general semirings (V,otimes,oplus,0,1) instead of rings or fields makes traditional approaches impossible.
Jananthan, Hayden, Kepner, Jeremy, Kim, Suna   +2 more
core   +2 more sources

Towards a generalisation of formal concept analysis for data mining purposes [PDF]

, 2006
In this paper we justify the need for a generalisation of Formal Concept Analysis for the purpose of data mining and begin the synthesis of such theory.
A. Burusco, B. Davey, B. Ganter, E. Wagneur, F. Baccelli, G. Cohen, J.S. Golan, J.S. Golan, T. Blyth   +8 more
core   +3 more sources

Tropical Lagrangian hypersurfaces are unobstructed

Journal of Topology, Volume 13, Issue 4, Page 1409-1454, December 2020., 2020
Abstract We produce for each tropical hypersurface V(ϕ)⊂Q=Rn a Lagrangian L(ϕ)⊂(C∗)n whose moment map projection is a tropical amoeba of V(ϕ). When these Lagrangians are admissible in the Fukaya–Seidel category, we show that they are unobstructed objects of the Fukaya category, and mirror to sheaves supported on complex hypersurfaces in a toric mirror.
Jeffrey Hicks
wiley   +1 more source