Results 51 to 60 of about 427 (84)

New topology in residuated lattices

Open Mathematics, 2018
In this paper, by using the notion of upsets in residuated lattices and defining the operator Da(X), for an upset X of a residuated lattice L we construct a new topology denoted by τa and (L, τa) becomes a topological space.
Holdon L.C.
doaj   +1 more source

On implementation of Stickel's key exchange protocol over max-min and max-T semirings

Journal of Mathematical Cryptology
Given that the tropical Stickel protocol and its variants are all vulnerable to the generalized Kotov–Ushakov attack, we suggest employing the max-min semiring and, more generally, max-TT semiring where the multiplication is based on a TT-norm, as a ...
Alhussaini Sulaiman, Sergeev Sergeĭ
doaj   +1 more source

On L-Fuzzy Multiplication Modules

Discussiones Mathematicae - General Algebra and Applications, 2017
Let L be a complete lattice. In a manner analogous to a commutative ring, we introduce and investigate the L-fuzzy multiplication modules over a commutative ring with non-zero identity.
Atani Shahabaddin Ebrahimi, Saraei Fatemeh Esmaeili Khalil   +1 more
doaj   +1 more source

Łukasiewicz anti fuzzy subalgebras of BCK/BCI-algebras [PDF]

The subalgebra of BCK/BCI-algebra using Łukasiewicz anti fuzzy set introduced by Jun is studied in this article. The concept of Łukasiewicz anti fuzzy subalgebra of a BCK/BCI-algebra is introduced, and several properties are investigated.
Bordbar, Hashem, Kang, Jeong Gi
core   +2 more sources

Binary relations applied to the fuzzy substructures of quantales under rough environment

Demonstratio Mathematica
Binary relations (BIRs) have many applications in computer science, graph theory, and rough set theory. This study discusses the combination of BIRs, fuzzy substructures of quantale, and rough fuzzy sets.
Mazher Qurashi Saqib, Almutairi Bander, Xin Qin, Sumaira Kanwal Rani, Aqsa   +4 more
doaj   +1 more source

State maps on semihoops

Open Mathematics, 2018
In this paper, we introduce the notion of state maps from a semihoop H1 to another semihoop H2, which is a generalization of internal states (or state operators) on a semihoop H.
Fu Yu Long, Xin Xiao Long, Wang Jun Tao
doaj   +1 more source

Tripolar fuzzy sub implicative ideals of KU-Algebras [PDF]

, 2020
The concept Tripolar fuzzy set is a generalization of bipolar fuzzy set, intuitionistic fuzzy set and fuzzy set. In this paper, the concept Tripolar fuzzy sub implicative ideals of KU-algebras are introduced and several properties are investigated. Also,
Samy Mohammed Mostafa
core   +1 more source

On residuated n-lattice

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
In this paper, we introduce residuated n-lattice: a variety of residuated semigroup equipped with binary hyperoperations n-sup and n-inf. We define the left bound, right bound, n-supremum, n-infimum, maximum and minimum with respect to it′s relation.
Zahiri Saeide, Saeid Arsham Borumand
doaj   +1 more source

Fuzzy bases and the fuzzy dimension of fuzzy vector spaces [PDF]

, 2010
In this paper, new definitions of a fuzzy basis and a fuzzy dimension for a fuzzy vector space are presented. A fuzzy basis for a fuzzy vector space $(E,mu)$ is a fuzzy set $beta$ on $E$.
Chun-E Huang, Fu-Gui Shi
core   +1 more source

An investigatiozn on Prime and Semiprime fuzzy hyperideals in po-ternary semihypergroups [PDF]

, 2018
The aim of this paper is to apply the concept of fuzzification on prime hyperideals and semiprime hyperideals in po-ternary semihypergroups and look for some of their related characteristics.
Abbasi, M. Y., Khan, S. A., Talee, Aakif F.   +2 more
core   +1 more source