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ON SOME TYPES OF CONTINUOUS FUZZY MULTIFUNCTIONS
Ekici, Erdal Korean Mathematical Society 2004 대한수학회보 Vol.41 No.4
In this paper, by using operations, some characterizations and some properties of fuzzy lower and upper continuous multifunctions and its weaker and stronger forms including fuzzy lower and upper weakly continuous, fuzzy lower and upper ${\theta}-continuous$, fuzzy lower and upper strongly ${\theta}-continuous$, fuzzy lower and upper almost strongly ${\theta}-continuous$, fuzzy lower and upper weakly ${\theta}-continuous$, fuzzy lower and upper almost continuous, fuzzy lower and upper super continuous, fuzzy lower and upper ${\delta}-continuous$, are presented.
Properties of Regular Set-connected Functions
Erdal Ekici 경북대학교 자연과학대학 수학과 2004 Kyungpook mathematical journal Vol.44 No.3
In 1999, Dontchev, Ganster and Reilly introduced the notion of regular set-connected functions. In this paper, properties of regular set-connected functions are investigated and obtained.
Ekici, Erdal,Tunc, A. Nur Chungcheong Mathematical Society 2016 충청수학회지 Vol.29 No.4
In this paper, the concept of $PC^{\star}$-closed sets is introduced. $PC^{\star}$-closed sets contain $pre^*_I$-open and $pre^*_I$-closed sets, ${\mathcal{RPC}}_I$ and $pre^*_I$-closed sets, ${\mathcal{RPC}}_I$ and weakly $I_{rg}$-closed sets.
Erdal Ekici,A. Nur Tunc 충청수학회 2016 충청수학회지 Vol.29 No.4
In this paper, the concept of PC⋆-closed sets is introduced. PC⋆-closed sets contain pre∗ I-open and pre∗ I-closed sets, RPCI and pre∗ I-closed sets, RPCI and weakly Irg-closed sets.
EKICI, ERDAL 대한수학회 2006 Kyungpook mathematical journal Vol.46 No.1
A new class of functions is introduced in this paper. This class is called almost δ-precontinuity. This type of functions is seen to be strictly weaker than almost precontinuity. By using δ-preopen sets, many characterizations and properties of the said type of functions are investigated.
Ekici, Erdal Department of Mathematics 2006 Kyungpook mathematical journal Vol.46 No.1
A new class of functions is introduced in this paper. This class is called almost ${\delta}$-precontinuity. This type of functions is seen to be strictly weaker than almost precontinuity. By using ${\delta}$-preopen sets, many characterizations and properties of the said type of functions are investigated.
Ekici, Erdal,Park, Jin-Han Korean Institute of Intelligent Systems 2005 INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGE Vol.5 No.2
As a generalization of the notions of fuzzy $\alpha-irresolute$, fuzzy preirresolute, fuzzy irresolute and fuzzy $\beta-irresolute$ functions, we introduce the notion of fuzzy $\beta\alpha-continuous$ functions and investigate the relationships between fuzzy $\beta\alpha-continuous$ functions and fuzzy separation axioms.
On some types of continuous fuzzy multifunctions
Erdal Ekici 대한수학회 2004 대한수학회보 Vol.41 No.4
In this paper, by using operations, some characterizations andsome properties of fuzzy lower and upper continuous multifunctionsand its weaker and stronger forms including fuzzy lower and upperweakly continuous, fuzzy lower and upper theta -continuous,fuzzy lower and upper strongly theta -continuous, fuzzy lowerand upper almost strongly theta -continuous, fuzzy lower andupper weakly theta -continuous, fuzzy lower and upper almostcontinuous, fuzzy lower and upper super continuous, fuzzy lowerand upper delta -continuous, are presented.
Erdal Ekici,Jin Han Park 한국지능시스템학회 2005 INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGE Vol.5 No.2
As a generalization of the notions of fuzzy α -irresolute, fuzzy preirresolute, fuzzy irresolute and fuzzy β -irresolute functions, we introduce the notion of fuzzy β α -continuous functions and investigate the relationships between fuzzy β α -continuous functions and fuzzy separation axioms.
EKICI ERDAL Korean Mathematical Society 2005 대한수학회논문집 Vol.20 No.4
In 1998, Thakur and Singh introduce the concept of fuzzy $\beta$-continuity (Fuzzy Sets and Systems, 98(1998), 383-391). In this paper we introduce and study the notion of fuzzy slightly $\beta$-continuity. Fuzzy slightly $\beta$-continuity generalize fuzzy $\beta$-continuity. Moreover, basic properties and preservation therems of fuzzy slightly $\beta$-continuous functions are obtained.