Results 11 to 20 of about 322,229 (285)

Implication functions in interval-valued fuzzy set theory [PDF]

open access: yes, 2013
Interval-valued fuzzy set theory is an extension of fuzzy set theory in which the real, but unknown, membership degree is approximated by a closed interval of possible membership degrees.
Deschrijver, Glad
core   +1 more source

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

Interval-valued and intuitionistic fuzzy mathematical morphologies as special cases of L-fuzzy mathematical morphology [PDF]

open access: yes, 2011
Mathematical morphology (MM) offers a wide range of tools for image processing and computer vision. MM was originally conceived for the processing of binary images and later extended to gray-scale morphology.
Deschrijver, Glad   +5 more
core   +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

Fuzzy Galois connections on fuzzy sets

open access: yes, 1981
In fairly elementary terms this paper presents how the theory of preordered fuzzy sets, more precisely quantale-valued preorders on quantale-valued fuzzy sets, is established under the guidance of enriched category theory.
García, Javier Gutiérrez   +2 more
core   +2 more sources

Triangular norms which are join-morphisms in 3-dimensional fuzzy set theory [PDF]

open access: yes, 2013
The n-dimensional fuzzy sets have been introduced as a generalization of interval-valued fuzzy sets, Atanassov's intuitionistic and interval-valued intuitionistic fuzzy sets.
Deschrijver, Glad
core   +2 more sources

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