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Fuzzy Topology On Fuzzy Sets : Fuzzy γ-Continuity and Fuzzy γ- Retracts
I. M. Hanafy,F. S. Mahmoud,M. M. Khalaf 한국지능시스템학회 2005 INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGE Vol.5 No.1
The aim of this paper is to introduce fuzzy γ-continuity and fuzzy γ -retracts in a fuzzy topology on fuzzy sets and establish some of their properties. Also, the relations between these new concepts are discussed.
Strong Forms of Continuity in Fuzzy Topological Spaces
I. M. Hanafy KYUNGPOOK UNIVERSITY 2001 Kyungpook mathematical journal Vol.41 No.1
This paper is devoted to introduce and study five types of strong forms of fuzzy continuity named and denoted by Fλθ- (resp. FSθ-, FPθ, Fγθ-, Fβθ-)cont.. These functions have been characterized and investigated mainly in the light of the notions of quasi-coincident [19], q-neighborhood [19] and θ-neighborhood [13]. Acomparisons be- tween these types of functions and other types of non-continuous functions is of interest and necessary examples are given. Some basic results related to the product of functions and the graph of functions are obtained.
RS-Compactness in L-fuzzy Topological Spaces
M. E. EL-Shafei,I. M. Hanafy,A. I. Aggour 경북대학교 자연과학대학 수학과 2002 Kyungpook mathematical journal Vol.42 No.2
The concept of RS-compactness is introduced and studied in L-fts's. We give some characterizations of RS-compactness in terms of regular closed, semiopen and β-open L-fuzzy sets. We also characterize RS-compactness in the sense of convergent prefilterbasis and by means of finite intersection property. We investigate the image and the inverse image of RS-compact spaces under some types of functions.
γ-Connectedness in fuzzy topological spaces
Hanafy, I.M. Korean Institute of Intelligent Systems 2003 INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGE Vol.3 No.2
The aim of this paper is to introduce the concept $\gamma$-connectedness in fuzzy topological spaces. We also investigate some interre lations between this types of fuzzy connectedness together with the preservation properties under some types of fuzzy continuity. A comparison between some types of connectedness in fuzzy topological spaces is of interest.
Fuzzy Topology On Fuzzy Sets: Fuzzy γ-Continuity and Fuzzy γ-Retracts
Hanafy, I.M.,Mahmoud, F.S.,Khalaf, M.M. Korean Institute of Intelligent Systems 2005 INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGE Vol.5 No.1
The aim of this paper is to introduce fuzzy γ-continuity and fuzzy γ-retracts in a fuzzy topology on fuzzy sets and establish some of their properties. Also, the relations between these new concepts are discussed.
Hanafy, I.M.,Mahmoud, F.S.,Khalaf, M.M. Korean Institute of Intelligent Systems 2005 INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGE Vol.5 No.1
The concept of a intuitionistic fuzzy topology (IFT) was introduced by Coker 1997. The concept of a fuzzy retract was introduced by Rodabaugh in 1981. The aim of this paper is to introduce a new concepts of fuzzy continuity and fuzzy retracts in an intuitionistic fuzzy topological spaces and establish some of their properties. Also, the relations between these new concepts are discussed.
INTUITIONISTIC FUZZY FUNCTIONS
Hanafy, I.M. Korean Institute of Intelligent Systems 2003 INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGE Vol.3 No.2
In this paper, we generally introduce some of the terminology of Yalvac [10] and Azad [4] in intuitionistic fuzzy topological spaces. In addition to the fundamental concepts of intuitionistic fuzzy sets, we emphasize the usefulness of the concepts of intuitionistic fuzzy points intuitionistic fuzzy elementhood. Mainly, this paper is devoted to the study of intuitionistic fuzzy topological spaces with specific attention to the weaker forms of fuzzy continuity.
I. M. Hanafy,F. S. Mahmoud,M. M. Khalaf 한국지능시스템학회 2005 INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGE Vol.5 No.1
The concept of a intuitionistic fuzzy topology ( IFT) was introduced by Coker 1997. The concept of a fuzzy retract was introduced by Rodabaugh in 1981. The aim of this paper is to introduce a new concepts of fuzzy continuity and fuzzy retracts in an intuitionistic fuzzy topological spaces and establish some of their properties. Also, the relations between these new concepts are discussed.