Somewhat Slightly Generalized Double Fuzzy Semicontinuous Functions

Mohammed, Fatimah M.; Noorani, Mohd Salmi Md; Ghareeb, A.

doi:10.1155/2014/756376

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Cited by 3 publications

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References 19 publications

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“…In [10], the author considered the normality of DFTS. In [11], the authors defined the DF-semi continuity. A fuzzy multifunction is a fuzzy set valued function ( [12,13]).…”

Section: Introductionmentioning

confidence: 99%

Double Fuzzy Ideal Multifunctions

Abu_Shugair,

Abdallah,

Abbas

et al. 2024

Mathematics

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In this paper, we introduce the notion of p,q-fuzzy local function and DF-ideal topological space. Also, we introduce the concepts DFU-ð-continuous and DFL-ð-continuous, almost ð-continuous, weakly ð-continuous and almost weakly ð-continuous multifunctions. Several properties and characterizations of the introduced multifunctions and types of continuity are established. Some examples are given to explain the correct implications between these notions.

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“…In [10], the author considered the normality of DFTS. In [11], the authors defined the DF-semi continuity. A fuzzy multifunction is a fuzzy set valued function ( [12,13]).…”

Section: Introductionmentioning

confidence: 99%

Double Fuzzy Ideal Multifunctions

Abu_Shugair,

Abdallah,

Abbas

et al. 2024

Mathematics

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show abstract

General Solution of Basset Equation With Caputo Generalized Hukuhara Derivative

Armand¹,

Allahviranloo²,

Gouyandeh³

2016

jaac

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Double fuzzy $ \alpha $-$ \eth $-continuous multifunctions

Abu_Shugair,

Abdallah,

Abbas

et al. 2024

MATH

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<abstract><p>Various types of double fuzzy continuity of fuzzy multifunctions are introduced in this paper. These types are double fuzzy upper and lower $ \alpha $-$ \eth $-continuous, almost $ \alpha $-$ \eth $-continuous, weakly $ \alpha $-$ \eth $-continuous and almost weakly $ \alpha $-$ \eth $-continuous multifunctions. Double fuzzy ideals are playing the main role in defining these types of continuous multifunctions. All implications associated with these types are ensured; also, many examples are introduced to illustrate these implications, and to explain the advantages of these new types of continuity for some previous definitions.</p></abstract>

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Somewhat Slightly Generalized Double Fuzzy Semicontinuous Functions

Cited by 3 publications

References 19 publications

Double Fuzzy Ideal Multifunctions

Double Fuzzy Ideal Multifunctions

General Solution of Basset Equation With Caputo Generalized Hukuhara Derivative

Double fuzzy $ \alpha $-$ \eth $-continuous multifunctions

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