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Öğe A decomposition of continuity in ideal topological spaces(SPRINGER, 2004) Açıkgöz, Ahu; Noiri, T.; Yüksel, ŞaziyeWe introduce the notions of w-l-continuous and w*-I-continuous functions in ideal topological spaces and investigate some of their properties. Additionally, we obtain a decomposition of continuous functions.Öğe Decompositions of new classes of functions(PERGAMON-ELSEVIER SCIENCE LTD, 2009) Açıkgöz, Ahu; Yüksel, ŞaziyeIn this paper, alpha N-I(5)-sets, SIN5-Sets, PIN5-sets, beta N-I(5)-sets are introduced via idealization. Using these sets, new classes of generalizations of non-continuous functions are obtained and some of their properties are given. Also, decompositions of strongly alpha - I-continuity, strongly alpha-pre-I-irresoluteness, I-irresoluteness and strongly semi-beta - I-irresoluteness are established. (C) 2007 Elsevier Ltd. All rights reserved.Öğe Decompositions of Some Forms of Continuity(2007) Açıkgöz, Ahu; Yüksel, ŞaziyeIn this paper, \alpha_C N_3 -sets [3] and \alpha_C N_5 -sets [3] are introduced and characterizations of \alpha-I -open [6], semi -I -open [6], \alpha_C N_3 -and \alpha_C N_5-sets are investigated. Also, new decompositions of \alpha -I -continuity and semi -I -continuity are obtained using these sets.Öğe Konveks Fuzzy Kümeler Üzerine(Selçuk Üniversitesi Fen-Edebiyat Fakültesi, 2002) Yüksel, Şaziye; Tünay, AyşeBu çalışmamızda; fuzzy kümelerde konvekslik kavramını inceledik. Konveks fuzzy küme ile bu fuzzy kümenin üyelik fonksiyonunun konkavlığı, strictly konveks fuzzy küme ile bu fuzzy kümenin üyelik fonksiyonunun strictly konkavlığı ve strongly konveks fuzzy küme ile bu fuzzy kümenin üyelik fonksiyonunun genel strongly konkavlığı arasında bağlantı kurduk. Ayrıca konveks fuzzy küme ile bu fuzzy kümenin üyelik fonksiyonunun genel konkav olması denkliğini elde ettik.Öğe On \delta -I-continuous functions(2005) Yüksel, Şaziye; Açıkgöz, Ahu; Noiri, T.In this paper, we introduce a new class of functions called \delta-I-continuous functions. We obtain several characterizations and some of their properties. Also, we investigate its relationship with other types of functions.Öğe On alpha-I-continuous and alpha-I-open functions(SPRINGER, 2004) Açıkgöz, Ahu; Noiri, T.; Yüksel, ŞaziyeWe study the concepts of alpha-I-continuity and alpha-I-openness in ideal topological spaces, and obtain several characterizations and some properties of these functions. Also, we investigate its relationship with other types of functions.Öğe On delta-I-open sets and decomposition of alpha-I-continuity(SPRINGER, 2004) Açıkgöz, Ahu; Noiri, T.; Yüksel, ŞaziyeWe introduce the notions of delta-I-open sets and semi delta-I-continuous functions in ideal topological spaces and investigate some of their properties. Additionally, we obtain decompositions of semi-I-continuous functions and alpha-I-continuous functions by using delta-I-open sets.Öğe On fuzzy alpha-I-continuous and fuzzy alpha-I-open functions(PERGAMON-ELSEVIER SCIENCE LTD, 2009) Yüksel, Şaziye; Çaylak, E. Gürsel; Açıkgöz, AhuRecently, El-Naschie has shown that the notion of fuzzy topology may be relevant to quantum particle physics in connection with string theory and E-infinity space time theory. In this paper, we Study the concepts of fuzzy alpha-I-continuity and fuzzy alpha-I-openness in fuzzy ideal topological spaces, and obtain several characterizations and some properties of these functions. Also, we investigate their relationship with other types of functions. (C) 2008 Elsevier Ltd. All rights reserved.Öğe On I-Extremally Disconnected Spaces(2007) Keskin, Aynur; Yüksel, Şaziye; Noırı, TakashiWe have introduced and investigated the notion of I-extremal disconnectedness on ideal topological spaces. First, we found that the notions of extremal disconnectedness and I-extremal disconnectedness are independent of each other. About the letter one, we observed that every open subset of an I-extremally disconnected space is also an I-extremally disconnected space. And also, in extremally disconnectedness spaces we have shown that I-open set is equivalent almost I-open and every -I-open set is preopen. Finally, we have shown that \alpha-I-continuity( resp. pre-I-continuity, I-continuity ) is equivalent to semi-I-continuity( resp. strongly \beta-I-continuity, almost strongly I-continuity ) if the domain is I-exteremally disconnected.Öğe On Pre-Open and M Pre-Open Functions(Selçuk Üniversitesi Fen-Edebiyat Fakültesi, 2002) Yüksel, Şaziye; Açıkgöz, Ahu; Keskin, AynurIn this study, the concepts of pre-open, M pre-open and M pre-closed function given in were introduced and their characterizations were investigated. We obtained the characterizations of M pre-open functions. Moreover we gave the concept of M pre-homeomorphism and characterized this concept.Öğe On some strongly functions defined by alpha-open(PERGAMON-ELSEVIER SCIENCE LTD, 2009) Kocaman, Ali Haydar; Yüksel, Şaziye; Açıkgöz, AhuIn this paper is to introduce and investigate new classes of generalizations of non-continuous functions, obtain some of their properties and to hold decompositions of strong alpha-irresolute in topological spaces. (C) 2007 Elsevier Ltd. All rights reserved.Öğe On The Concept A.C.H. Function(Selçuk Üniversitesi Fen-Edebiyat Fakültesi, 2002) Yüksel, Şaziye; Açıkgöz, AhuIn this note, the concept of almost continuity in the sense of Husain (a.c.h.) and the main Theorem 1 was given. In addition, the concept of strong localy compact was studied. We gave from the proof in Theorem 1.2. which regardless of previous proof, if f : X -> Y is mapping from a topological space X to a topological space Y which is a strong localy compact (where f denotes mapping which the function of the close graphicness and a.c.H.), then the function is continuous. (This theorem is the generalization of Theorem 1 given in.)Öğe On*-operfect Sets and Alpha-*-closed Sets(Springer, 2010) Açıkgöz, Ahu; Noiri, T.; Yüksel, ŞaziyeThe main purpose of this paper is to introduce *-operfect, tau*-clopen, alpha-*-closed, strongly alpha-*-closed and pre-*-closed sets. We compare them and obtain a diagram to show their relationships among these sets and related sets.Öğe Some new sets and decompositions of A(I-R)-continuity, alpha-I-continuity, continuity via idealization(AKADEMIAI KIADO, 2007) Açıkgöz, Ahu; Yüksel, ŞaziyeThe concepts of I-R closed set, A (I-R)-set, alpha M-I(1)-set, alpha M-I(2)-set, alpha N-I(1)-set, alpha N-I (2)-set, alpha N-I(3)-set, alpha N-I(4)-set and alpha N-I(5)-set are introduced via idealization. New decompositions of some weaker forms of continuity are obtained by using these sets.Öğe Topolojik Uzaylarda Süreklilik Çeşitleri Üzerine(Selçuk Üniversitesi Fen-Edebiyat Fakültesi, 2005) Uslu, Kemal; Yüksel, ŞaziyeBu derlemede; ()?,X, ()?,Y topolojik uzaylar ve ),(),(:??YXf? herhangi bir fonksiyon olmak üzere, öncelikle süreklilik, w.c., w*.c., a.c.H. süreklilik ve a.c.S. süreklilik tanımları ve bu süreklilik çeşitleri arasındaki bağlantılar incelenmiştir. 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