Results 201 to 210 of about 5,611,224 (240)

Gradualness, uncertainty and bipolarity: Making sense of fuzzy sets

Fuzzy Sets and Systems, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dubois, Didier, Prade, Henri
openaire   +5 more sources

A bipolar-valued fuzzy set is an intersected interval-valued fuzzy set

Information Sciences
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hu, BQ, Yiu, KFC
openaire   +2 more sources

Analysis of $$\Gamma $$-semigroups based on bipolar complex fuzzy sets

Computational and Applied Mathematics, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tahir Mahmood 0002, Ubaid ur Rehman 0001, Majed Albaity   +2 more
openaire   +2 more sources

Quotient bipolar fuzzy soft sets of hypervector spaces and bipolar fuzzy soft sets of quotient hypervector spaces

Journal of Algebraic Hyperstructures and Logical Algebras, 2023
In this paper, two related quotient structures are investigated utilizing the concept of coset. At first, a new hypervector space F/V = (F/V,\circ,\circledcirc,K) is created, which is composed of all cosets of a bipolar fuzzy soft set (F;A) over a hypervector space V . Then it will be shown that dim F/V = dim V/W, where the quotient hypervector space V/
openaire   +1 more source

Roughness of a set by $$(\alpha , \beta )$$-indiscernibility of Bipolar fuzzy relation

Computational and Applied Mathematics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rizwan Gul, Muhammad Shabir
openaire   +2 more sources

On fuzzy bipolar soft sets, their algebraic structures and applications

Journal of Intelligent & Fuzzy Systems, 2014
We have defined fuzzy bipolar soft sets and basic operations of union, intersection and complementation for fuzzy bipolar soft sets. The algebraic properties of fuzzy bipolar soft sets are discussed. The concept of bipolar fuzzy soft set is also given and the equivalence of both structures is established.
Munazza Naz, Muhammad Shabir
openaire   +1 more source

(Yin) (Yang) bipolar fuzzy sets

1998 IEEE International Conference on Fuzzy Systems Proceedings. IEEE World Congress on Computational Intelligence (Cat. No.98CH36228), 2002
A bipolar fuzzy set theory is introduced in the space {/spl forall/(x,y)|(x,y)/spl isin/[-1,0]/spl times/[0,1]}. Two types of bipolar /spl alpha/-cuts are proposed. Resolutions of bipolar level sets and their relationships are established. The bipolar fuzzy set theory combines both polarity and fuzziness into a unified model and therefore, provides a ...
openaire   +1 more source

Complex Bipolar Multi-Fuzzy Sets

Uncertainty
Convey human being's information to a mathematical formula and vice versa by a proper tool, is considered a first step to solve the problem of assigning a membership degree (suitable value) of an object to a set by decision-makers. Different information with its periodic circumstances highlighted the need for an extra variable to be built into the ...
Abd Ulazeez Alkouri, Mo'men Bany Amer, Ibrahim Jawarneh   +2 more
openaire   +1 more source

The novel WASPAS method for roughness of bipolar fuzzy sets based bipolar fuzzy covering

Physica Scripta
Abstract The research employs Covering-based Rough Set and Fuzzy Set theories to handle uncertainty in data analysis. However, when dealing with data uncertainty and bipolarity in various scenarios, the Bipolar Fuzzy Set (BFS) theory proves advantageous by simultaneously managing positive and negative information.
Faiza Tufail, Muhammad Shabir
openaire   +1 more source

Bipolar Fuzzy Sets and Equilibrium Relations

2011
Based on bipolar sets and quantum lattices, the concepts of bipolar fuzzy sets and equilibrium relations are presented in this chapter for bipolar fuzzy clustering, coordination, and global regulation. Related theorems are proved. Simulated application examples in multiagent macroeconomics are illustrated.
openaire   +1 more source