Yazar "Sezgin, Aslihan" için listeleme
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alpha-INCLUSIONS APPLIED TO GROUP THEORY VIA SOFT SET AND LOGIC
Sezgin, Aslihan; Cagman, Naim; Citak, Filiz (ANKARA UNIV, FAC SCI, 2019)Soft set theory, initiated by Molodtsov, is a tool for modeling various types of uncertainty. In this paper, upper and lower alpha-inclusions of a soft set are defined. By using these new notions, some analyzes with respect ... -
Analysis of semigroups with soft intersection ideals
Sezgin, Aslihan; Orbay, Metin (Sciendo, 2022)In this paper, semisimple semigroups, duo semigroups, right (left) zero semigroups, right (left) simple semigroups, semilattice of left (right) simple semigroups, semilattice of left (right) groups and semilattice of groups ... -
CHARACTERIZATIONS OF ABEL GRASSMANN'S GROUPOIDS BY THE PROPERTIES OF THEIR DOUBLE-FRAMED SOFT IDEALS
Khan, Asghar; Izhar, Muhammad; Sezgin, Aslihan (ETAMATHS PUBL, 2017)In this paper, we introduce the concept of double-framed soft ideals and investigate properties of these ideals in regular, intra-regular, right regular and left regular AG-groupoids. We also characterize intra-regular ... -
Characterizations of Right Weakly Regular Semigroups in Terms of Generalized Cubic Soft Sets
Gulistan, Muhammad; Feng, Feng; Khan, Madad; Sezgin, Aslihan (MDPI, 2018)Cubic sets are the very useful generalization of fuzzy sets where one is allowed to extend the output through a subinterval of [0,1] and a number from [0,1]. Generalized cubic sets generalized the cubic sets with the help ... -
A completely new view to soft intersection rings via soft uni-int product
Sezgin, Aslihan; Cagman, Naim; Atagun, Akin Osman (ELSEVIER SCIENCE BV, 2017)In this paper, we make a completely new approach to the classical ring theory via soft set theory, with the concept of soft intersection rings, ideals, (generalized) bi-ideals, interior ideals and quasi-ideals. Particularly, ... -
Completely weakly, quasi-regular semigroups characterized by soft union Quasi ideals, (generalized) bi-ideals and semiprime ideals
Sezgin, Aslihan; Orbay, Keziban (Yildiz Technical Univ, 2023)In this paper, certain kinds of regularities of semigroups are studied by correlating soft set theory. Completely, weakly and quasiregular semigroups are characterized by soft union quasiideals, soft union (generalized) ... -
Educational Research Review From Diverse Perspectives: A Bibliometric Analysis of Web of Science (2011-2020)
Sezgin, Aslihan; Orbay, Keziban; Orbay, Metin (Sage Publications Inc, 2022)This study aims to reveal the bibliometric characteristics of publications on educational research from diverse perspectives, including the level of national-international collaborations, the percentage change in open-access ... -
Emerging Trends in Social Networking Systems and Generation Gap with Neutrosophic Crisp Soft Mapping
Riaz, Muhammad; Hashmi, Masooma Raza; Karaaslan, Faruk; Sezgin, Aslihan; Al Shamiri, Mohammed M. Ali; Khalaf, Mohammed M. (Tech Science Press, 2023)This paper aims to introduce the novel concept of neutrosophic crisp soft set (NCSS), including various types of neutrosophic crisp soft sets (NCSSs) and their fundamental operations. We define NCS-mapping and its inverse ... -
LATTICE ORDERED SOFT NEAR RINGS
Mahmood, Tahir; Rehman, Zia Ur; Sezgin, Aslihan (KANGWON-KYUNGKI MATHEMATICAL SOC, 2018)Keeping in view the expediency of soft sets in algebraic structures and as a mathematical approach to vagueness, in this paper the concept of lattice ordered soft near rings is introduced. Different properties of lattice ... -
More on Prime, Maximal and Principal Soft Ideals of Soft Rings
Atagun, Akin Osman; Sezgin, Aslihan (World Scientific Publ Co Pte Ltd, 2022)In this paper, we aim to extend the studies [M. R.. Alimoradi, R.. Rezaei and M. Rahimi, Some notes on ideals in soft rings, Journal Australian Journal of Basic and Applied Sciences 6(3) (2012) 717-721; F. Koyuncu and B. ... -
A New View on AG-Groupoid Theory via Soft Sets for Uncertainty Modeling
Sezgin, Aslihan (UNIV NIS, FAC SCI MATH, 2018)In this paper, the concepts soft union AG-groupoids, soft union left (right, two-sided) ideals, (generalized) bi-ideals, interior and quasi-ideals in AG-groupoids are introduced with many illustrating examples and their ... -
A NOTE ON SOFT NEAR-RINGS AND IDEALISTIC SOFT NEAR-RINGS
Sezgin, Aslihan; Atagun, Akin Osman; Aygun, Emin (UNIV NIS, FAC SCI MATH, 2011)Molodtsov introduced the theory of soft sets, which can be seen as an effective mathematical tool to deal with uncertainties, since it is free from the difficulties that the usual theoretical approaches have troubled. In ... -
On Near-Rings with Soft Union Ideals and Applications
Sezgin, Aslihan; Atagun, Akin Osman; Cagman, Naim; Demir, Huseyin (World Scientific Publ Co Pte Ltd, 2022)In this paper, we define soft union near-ring on a soft set by using soft sets, inclusion relation and union of sets. This new notion functions as a bridge among soft set theory, set theory and near-ring theory. We then ... -
On operations of soft sets
Sezgin, Aslihan; Atagun, Akin Osman (PERGAMON-ELSEVIER SCIENCE LTD, 2011)Soft set theory, proposed by Molodtsov, has been regarded as an effective mathematical tool to deal with uncertainties. In this paper, first we prove that certain De Morgan's law hold in soft set theory with respect to ... -
P-properties in Near-rings
Atagun, Akin Osman; Kamaci, Huseyin; Tastekin, Ismail; Sezgin, Aslihan (INST TEKNOLOGI BANDUNG, 2019)In this paper, assuming that N is a near-ring and P is an ideal of N, the P-center of N, the P-center of an element in N, the P-identities of N are defined. Their properties and relations are investigated. It is shown that ... -
A REMARKABLE CONTRIBUTION TO SOFT INT-GROUP THEORY VIA A COMPREHENSIVE VIEW OF SOFT COSETS
Sezgin, Aslihan; Ilgin, Aleyna; Kocakaya, Fatima zehra; Bas, Zeynep hare; Onur, Beyza; Citak, Filiz (Editura Bibliotheca-Bibliotheca Publ House, 2024)This paper aims to expand soft int-group theory by analyzing its many aspects and structural properties regarding soft cosets and soft quotient groups, which are crucial concepts of the theory. All the characteristics of ... -
Restricted and extended star operations for soft sets: new restricted and extended soft set operations
Sezgin, Aslihan; Aybek, Fitnat Nur; Luzum, Murat (Springer Heidelberg, 2025)Soft set theory has been well-known as a technique for tackling uncertainty-related problems and modeling uncertainty since it was proposed by Molodtsov in 1999. It has been applied to a number of theoretical and real-world ... -
Semigroups with Soft AC-Ideals
Ozlu, Serif; Sezgin, Aslihan (World Scientific Publ Co Pte Ltd, 2023)In this paper, we define the concepts of soft anti-covered semigroup, soft anti-covered left (right) ideal, soft anti-covered interior ideal, soft anti-covered (generalized) bi-ideal, soft anti-covered quasi-ideal of a ... -
Soft groups and normalistic soft groups
Sezgin, Aslihan; Atagun, Akin Osman (PERGAMON-ELSEVIER SCIENCE LTD, 2011)Soft set theory, proposed by Molodtsov, has been regarded as an effective mathematical tool to deal with uncertainties. In this paper, first we correct some of the problematic cases in a previous paper by Aktas and Cagman ... -
Soft Intersection Almost Bi-Quasi-Interior Ideals of Semigroups
Sezgin, Aslihan; Baş, Zeynep Hare; Ilgin, Aleyna (Research Expansion Alliance (REA), 2025)Generalizing the ideals of an algebraic structure has shown to be both exciting and valuable to mathematicians. In this context, the concept of Bi-Quasi-Interior Ideal (BQI-ideal) was proposed as a generalization of interior ...
