Results 71 to 80 of about 41,052 (118)

A new type of soft multi rough sets

open access: yesDemonstratio Mathematica
Soft multi rough sets which are a hybrid model combining rough sets with soft multisets are defined by using soft multi rough approximation operators. Soft multi rough sets can be seen as a generalized rough set model based on soft multisets.
Güzel Ergül Zehra
doaj   +1 more source

On Properties of t-Fuzzy Modules and Uniform t-Fuzzy Modules

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2019
In this paper, we extend the idea of fuzzy modules and uniform fuzzy modules to the concepts of t-fuzzy modules and uniform t-fuzzy modules, respectively. We give some characterizations and properties of t-fuzzy modules and uniform t-fuzzy modules.
Baupradist Samruam, Chemat Burhan
doaj   +1 more source

A new representation of α-openness, α-continuity, α-irresoluteness, and α-compactness in L-fuzzy pretopological spaces

open access: yesOpen Mathematics, 2019
This paper presents a new representation of α-openness, α-continuity, α-irresoluteness, and α-compactness based on L-fuzzy α-open operators introduced by Nannan and Ruiying [1] and implication operation. The proposed representation extends the properties
Ghareeb A., Al-Saadi H. S., Khalil O. H.
doaj   +1 more source

Investigating Novel Types of Coincidence and Quasi‐Coincidence Relations and Studying Equivalent Intuitionistic Fuzzy Sets

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
In this work, we modify the definition of intuitionistic fuzzy points so that the definition is concise, generalizes fuzzy points, and excludes 0˜. We establish new forms of relations between intuitionistic fuzzy sets and demonstrate that every quasi‐coincidence relation is coincidence.
S. M. Elsayed   +2 more
wiley   +1 more source

Principal Intuitionistic Fuzzy Ideals and Filters on a Lattice

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2020
In this paper, we generalize the notion of principal ideal (resp. filter) on a lattice to the setting of intuitionistic fuzzy sets and investigate their various characterizations and properties.
Boudaoud Sarra   +2 more
doaj   +1 more source

Comparison theorems for summability methods of sequences of fuzzy numbers

open access: yes, 2017
In this study we compare Ces\`{a}ro and Euler weighted mean methods of summability of sequences of fuzzy numbers with Abel and Borel power series methods of summability of sequences of fuzzy numbers. Also some results dealing with series of fuzzy numbers
Yavuz, Enes
core   +3 more sources

Fuzzy ideals of ordered semigroups with fuzzy orderings

open access: yesOpen 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

Geometry of generators of triangular norms and copulas

open access: yesDependence Modeling
We study the relations between the shapes of strict triangular norms and their generators. The generators are not unique; to avoid this ambiguity, we introduce the class of balanced generators.
Houšková Kamila, Navara Mirko
doaj   +1 more source

An Improved Correlation Coefficient of Intuitionistic Fuzzy Sets

open access: yesJournal of Intelligent Systems, 2019
The intuitionistic fuzzy set is a useful tool to deal with vagueness and uncertainty. Correlation coefficient of the intuitionistic fuzzy sets is an important measure in intuitionistic fuzzy set theory and has great practical potential in a variety of ...
Huang Han-Liang, Guo Yuting
doaj   +1 more source

On L-Fuzzy Multiplication Modules

open access: yesDiscussiones 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   +1 more
doaj   +1 more source

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