Results 11 to 20 of about 23,803 (254)

Fuzzy Set Theory and Topos Theory [PDF]

open access: yesCanadian Mathematical Bulletin, 1986
AbstractThe relation between the categories of Fuzzy Sets and that of Sheaves is explored and the precise connection between them is explicated. In particular, it is shown that if the notion of fuzzy sets is further fuzzified by making equality (as well as membership) fuzzy, the resultant categories are indeed toposes.
openaire   +1 more source

Three Decades of Neutrosophic and Plithogenic Theories with their Applications (1995 - 2024) [PDF]

open access: yesNeutrosophic Sets and Systems
Neutrosophic Set is a Generalization of Intuitionist Fuzzy Set, Inconsistent Intuitionist Fuzzy Set (Picture Fuzzy Set, Ternary Fuzzy Set), Pythagorean Fuzzy Set (Atanassov’s Intuitionist Fuzzy Set of second type), q-Rung Orthopair Fuzzy Set, Spherical ...
Florentin Smarandache
doaj   +1 more source

Fuzzy sets and decision theory

open access: yesInformation and Control, 1973
The problem of making decisions to classify the objects of a certain universe into two or more suitable classes has been considered in the setting of fuzzy sets theory. A measure of the total amount of uncertainty that arises in making decisions has been proposed in the general case.
R. CAPOCELLI, DE LUCA, ALDO
openaire   +3 more sources

An Outlier Fuzzy Detection Method Using Fuzzy Set Theory

open access: yesIEEE Access, 2019
Outlier mining task is to discover some unusual objects, and however, most existing methods and their mining results lack pertinence. To address the pertinence of outlier results, we propose a novel outlier detection approach, namely, FOD, which aims at ...
Lizhong Jin, Junjie Chen, Xiaobo Zhang
doaj   +1 more source

Decision-Making Approach with Fuzzy Type-2 Soft Graphs

open access: yesJournal of Mathematics, 2020
Molodtsov’s theory of soft sets is free from the parameterizations insufficiency of fuzzy set theory. Type-2 soft set as an extension of a soft set has an essential mathematical structure to deal with parametrizations and their primary relationship ...
Sundas Shahzadi   +2 more
doaj   +1 more source

Linear Diophantine Fuzzy Set Theory Applied to BCK/BCI-Algebras

open access: yesMathematics, 2022
In this paper, we apply the concept of linear Diophantine fuzzy sets in BCK/BCI-algebras. In this respect, the notions of linear Diophantine fuzzy subalgebras and linear Diophantine fuzzy (commutative) ideals are introduced and some vital properties are ...
Ghulam Muhiuddin   +4 more
doaj   +1 more source

A study on fundamentals of refined intuitionistic fuzzy set with some properties [PDF]

open access: yesJournal of Fuzzy Extension and Applications, 2020
Zadeh conceptualized the theory of fuzzy set to provide a tool for the basis of the theory of possibility. Atanassov extended this theory with the introduction of intuitionistic fuzzy set.
Atiqe Rahman   +5 more
doaj   +1 more source

The Parameter Reduction of Fuzzy Soft Sets Based on Soft Fuzzy Rough Sets

open access: yesAdvances in Fuzzy Systems, 2013
Fuzzy set theory, rough set theory, and soft set theory are three effective mathematical tools for dealing with uncertainties and have many wide applications both in theory and practise. Meng et al.
Zhiming Zhang
doaj   +1 more source

Effective Fuzzy Soft Set Theory and Its Applications

open access: yesApplied Computational Intelligence and Soft Computing, 2022
Fuzzy soft set is the most powerful and effective extension of soft sets which deals with parameterized values of the alternative. It is an extended model of soft set and a new mathematical tool that has great advantages in dealing with uncertain ...
Shawkat Alkhazaleh
doaj   +1 more source

An information-based approach to handle various types of uncertainty in fuzzy bodies of evidence.

open access: yesPLoS ONE, 2020
Fuzzy evidence theory, or fuzzy Dempster-Shafer Theory captures all three types of uncertainty, i.e. fuzziness, non-specificity, and conflict, which are usually contained in a piece of information within one framework.
Atiye Sarabi-Jamab, Babak N Araabi
doaj   +1 more source

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