Results 21 to 30 of about 39 (39)

Generalized Bi-ideal of Ordered Semigroup Related to Intuitionistic Fuzzy Point [PDF]

Matrix Science Mathematic, 2017
Intuitionistic fuzzy generalized bi-ideals play an important role in the study of ordered semigroups. In this paper, we try obtain more general form of intuitionistic fuzzy generalized bi-ideal of an ordered semigroup.
Hidayat Ullah Khan, Asghar Khan, Faiz Muhammad Khan , Yongjin Li   +3 more
doaj   +1 more source

Some decompositions of filters in residuated lattices

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
In this paper we introduce a new class of residuated lattice: residuated lattice with (C∧&→) property and we prove that (C∧&→) ⇔ (C→) + (C∧).Also, we introduce and characterize C→, C∨, C∧ and C∧ & → filters in residuated lattices (i.e., we characterize ...
Piciu Dana, Dan Christina Theresia, Chirteş Florentina   +2 more
doaj   +1 more source

On annihilators in BL-algebras

Open Mathematics, 2016
In the paper, we introduce the notion of annihilators in BL-algebras and investigate some related properties of them. We get that the ideal lattice (I(L), ⊆) is pseudo-complemented, and for any ideal I, its pseudo-complement is the annihilator I⊥ of I ...
Zou Yu Xi, Xin Xiao Long, Fei He Peng
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

Fuzzy ideals of ordered semigroups with fuzzy orderings

Open Mathematics, 2016
The purpose of this paper is to introduce the notions of ∈, ∈ ∨qk-fuzzy ideals of a fuzzy ordered semigroup with the ordering being a fuzzy relation. Several characterizations of ∈, ∈ ∨qk-fuzzy left (resp. right) ideals and ∈, ∈ ∨qk-fuzzy interior ideals
Huang Xiaokun, Li Qingguo
doaj   +1 more source

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 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

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

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