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Journal articles on the topic 'Soft -ideals (bi-ideal'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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1

İlgin, Aleyna, Aslıhan Sezgin, and Thiti Gaketem. "Generalized Soft Union Bi-Ideals and Interior Ideals of Semigroups: Soft Union Bi-Interior Ideals of Semigroups." International Journal of Analysis and Applications 23 (June 26, 2025): 149. https://doi.org/10.28924/2291-8639-23-2025-149.

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Generalizing the ideals of an algebraic structure has shown to be both beneficial and interesting for mathematicians. In this context, the idea of the bi-interior ideal was introduced as a generalization of the bi-ideal and interior ideal of a semigroup. By introducing "soft union (S-uni) bi-interior ideals of semigroups", we apply this idea to semigroups and soft set theory in this study. Finding the relationships between S-uni bi-interior ideals and other specific kinds of S-uni ideals of a semigroup is the main aim of this study. Our results show that an S-uni bi-interior ideal is an S-uni

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2

Onur, Beyza, Aslıhan Sezgin, and Thiti Gaketem. "Soft Union Bi-quasi Ideals of Semigroup." International Journal of Analysis and Applications 23 (April 28, 2025): 100. https://doi.org/10.28924/2291-8639-23-2025-100.

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Mathematicians attach importance to extending ideals in algebraic structures. The concept of bi-quasi (ƁԚ) ideal was introduced as a generalization version of quasi-ideal, bi-ideal, and left (right) ideals in semigroups. This paper applies this concept to soft set theory and semigroups, introducing the notion of "Soft union (S-uni) ƁԚ ideal." The aim of this paper is to explore the relationships between S-uni ƁԚ ideals and other types of S-uni ideals in semigroups. It is shown that every S-uni bi-ideal, S-uni ideal, S-uni quasi-ideal, and S-uni interior ideal of an idempotent soft set are S-un

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3

Sezgin, Aslıhan, and Fatıma Zehra Kocakaya. "Soft Intersection Quasi-interior Ideals of Semigroups." Journal of Basic & Applied Sciences 21 (April 3, 2025): 101–18. https://doi.org/10.29169/1927-5129.2025.21.11.

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It has been shown that generalizing the ideals of an algebraic structure is both interesting and beneficial for mathematicians. In this context, the concept of quasi-interior (Ԛꟾ) ideal was introduced as a generalization of quasi-ideal and interior ideal of a semigroup. In this paper, we apply this concept to soft set theory and semigroups, introducing a new form of soft intersection (S-int) ideal called the "soft intersection (S-int) quasi-interior (Ԛꟾ) ideal." The main objective of this study is to investigate the relationships between S-int Ԛꟾ ideals and other specific types of S-int ideals

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S., Subramanaian, and Nalini D. "CHARACTERIZATION OF COMPLEX BI FUZZY SOFT SET ON REGULAR SEMI GROUP." International Journal of Advanced Trends in Engineering and Technology 3, no. 1 (2018): 159–63. https://doi.org/10.5281/zenodo.1285145.

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In this article, we define a new structure of complex bi fuzzy soft left ideals (resp., right) of a semi group S, Union and Intersection of ideals is again ideals. Also, we prove the set of all idempotent elements of S from a right zero semi group of S, then C(x) = C(y) for all idempotents elements of x and y of S. If C<sub>1</sub> and C<sub>2 </sub>be a complex bi fuzzy soft left and right ideals of a semi group S, respectively, then C<sub>1</sub> * C<sub>2</sub>  C<sub>1</sub><sup> </sup>C<sub>2</sub><strong>.</strong> For every Complex bi fuzzy soft right ideal C<strong><sub>1</sub></s

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5

Sezgin, Aslıhan, Beyza Onur, and Aleyna İlgin. "Soft Intersection Almost Tri-ideals of Semigroups." SciNexuses 1 (November 24, 2024): 126–38. http://dx.doi.org/10.61356/j.scin.2024.1414.

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The notions of left (right) ideal and quasi-ideal of semigroup are generalized by the concept of tri-ideal. Likewise, the concepts of soft intersection left (right) ideal and soft intersection quasi-ideal of semigroups are generalized by the soft intersection tri-ideal. In this paper, we present and study the concept of soft intersection almost tri-ideal ideal as a further generalization of nonnull soft intersection tri-ideal. It is demonstrated that every idempotent soft intersection almost bi-ideal is a soft intersection almost tri-ideal, and vice versa. We also obtained that an idempotent s

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Muhiuddin, G., and Abdulaziz M. Alanazi. "(m, n)-Ideals in Semigroups Based on Int-Soft Sets." Journal of Mathematics 2021 (July 7, 2021): 1–10. http://dx.doi.org/10.1155/2021/5546596.

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Algebraic structures play a prominent role in mathematics with wide ranging applications in many disciplines such as theoretical physics, computer sciences, control engineering, information sciences, coding theory, and topological spaces. This provides sufficient motivation to researchers to review various concepts and results from the realm of abstract algebra in the broader framework of fuzzy setting. In this paper, we introduce the notions of int-soft m , n -ideals, int-soft m , 0 -ideals, and int-soft 0 , n -ideals of semigroups by generalizing the concept of int-soft bi-ideals, int-soft r

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7

V., Chinnadurai, and Arulmozhi K. "ANTI FUZZY SOFT GAMMA REGULAR SEMIGROUPS." International Journal of Scientific Research and Modern Education 2, no. 1 (2017): 159–70. https://doi.org/10.5281/zenodo.810156.

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In this paper, we have introduce the notion of anti fuzzy soft -semigroups, anti fuzzy soft -ideal, bi-ideal, interior ideal-regular, soft-regular anti fuzzy soft-regular and obtain some interesting properties results and discusse in this paper

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8

A., Rajakumari, and Sivakumar S. "N-FUZZY SOFT SUBGROUPS OVER IDEAL STRUCTURES." International Journal of Applied and Advanced Scientific Research 3, no. 1 (2018): 165–68. https://doi.org/10.5281/zenodo.1193687.

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In this paper, we introduced the concept of N-fuzzy soft N−fuzzy neutrosopic soft right ideal, N−fuzzy neutrosopic soft (1, 2)−ideal, N−fuzzy neutrosopic soft bi-ideal of a group, N−fuzzy neutrosopic soft subgroupoid and regular groupoid and its properties. An illustrative examples are also given.

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9

Mandal, Debabrata. "A Hesitant Intuitionistic Fuzzy Set Approach to Study Ideals of Semirings." International Journal of Fuzzy System Applications 10, no. 3 (2021): 1–17. http://dx.doi.org/10.4018/ijfsa.2021070101.

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The classical set theory was extended by the theory of fuzzy set and its several generalizations, for example, intuitionistic fuzzy set, interval valued fuzzy set, cubic set, hesitant fuzzy set, soft set, neutrosophic set, etc. In this paper, the author has combined the concepts of intuitionistic fuzzy set and hesitant fuzzy set to study the ideal theory of semirings. After the introduction and the priliminary of the paper, in Section 3, the author has defined hesitant intuitionistic fuzzy ideals and studied several properities of it using the basic operations intersection, homomorphism and ca

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10

Alharbi, Rehab, S. E. Abbas, E. El-Sanowsy, H. M. Khiamy, K. A. Aldwoah, and Ismail Ibedou. "New soft rough approximations via ideals and its applications." AIMS Mathematics 9, no. 4 (2024): 9884–910. http://dx.doi.org/10.3934/math.2024484.

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<abstract><p>Theories of soft sets and rough sets are two different approaches to analyzing vagueness. A possible fusion of rough sets and soft sets was proposed in 2011. At this time the concept of soft rough sets was introduced, where parametrized subsets of a universal set are basic building blocks for lower and upper approximations of a subset. The main purpose of soft rough sets is to reduce the soft boundary region by increasing the lower approximation and decreasing the upper approximation. In this paper, we present two new approaches for soft rough sets that is related to t

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11

Feng, Feng, Madad Khan, Violeta Leoreanu-Fotea, Saima Anis, and Nadeem Ajaib. "Fuzzy soft set approach to ideal theory of regular AG-groupoids." Analele Universitatii "Ovidius" Constanta - Seria Matematica 24, no. 1 (2016): 263–88. http://dx.doi.org/10.1515/auom-2016-0015.

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Abstract This paper aims to apply fuzzy sets and soft sets in combination to investigate algebraic properties of regular AG-groupoids. We initiate (∈γ; ∈γ qδ)-fuzzy soft left ideals (right ideals, bi-ideals and quasi-ideals) over AG-groupoids and explore some related properties. Moreover, we give a number of characterizations for regular AG-groupoids by virtue of various types of fuzzy soft ideals over them.

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12

V., Ramadas, and P. Antony Samy V. "TRIANGULAR MEMBERSHIP FUNCTIONS OF N-FUZZY SOFT REGULAR BI-IDEALS." International Journal of Applied and Advanced Scientific Research 3, no. 1 (2018): 169–74. https://doi.org/10.5281/zenodo.1193689.

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In this paper, we investigated the new contribution to soft set theory called N- fuzzy neutrosophic soft theory over soft regular groupoids. Also complemented, N-level set and various ideal structures have been studied with suitable examples.

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13

Satish, T., Madhusudhana Rao, P. Sivaprasad та M. Vasantha. "Fuzzy Soft Ternary Γ-Semirings-II". International Journal of Engineering and Advanced Technology 9, № 1s5 (2019): 235–39. http://dx.doi.org/10.35940/ijeat.a1057.1291s519.

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In this paper we are introducing the notions of “fuzzy soft quasi T  -ideal(FSQTΓI), Fuzzy soft bi-T  - ideal(FSBTΓI)” are introduced. It is proved that (1) A “fuzzy soft set (q,P1,  ) over a ternary Γ-semiring(TΓ-SR)”T is a FSQTΓI over T iff  a  P1, q(a)   is a “quasi-ideal of T”. (2) Every “Fuzzy soft left (right, lateral) T  - ideal[FSLTΓI(FSMTΓI, FSRTΓI)] over a TΓ-SR T is a FSQTΓI over T”: (3)Every “FSQTΓI is a fuzzy soft T  -SR over T”: (4) Let “(r,A,  ), (l,B,  ) and (m,C,  ) be FSLTΓI, FSMTΓI, FSRTΓI over T”, respectively. Then “(r,A,  )  (l,B,  )  (m,C,  ) is a FSQTΓI

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14

Deepa, V. "Dual Hesitant Fuzzy Soft Rings." International Journal of Fuzzy System Applications 7, no. 3 (2018): 1–16. http://dx.doi.org/10.4018/ijfsa.2018070101.

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In this article, the concept of dual hesitant fuzzy soft sets is applied to the subring and ideal structures of the classical rings. Further, based on level soft sets of the dual hesitant fuzzy soft set, a characterization theorem for the dual hesitant fuzzy soft ring is established. Moreover, a counter-example is provided for a dual hesitant fuzzy soft ring which is not an idealistic dual hesitant fuzzy soft ring. Finally, the homomorphic and bi-soft homomorphic properties of a dual hesitant fuzzy soft ring are discussed.

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15

Zulqarnain, Rana Muhammad, Imran Siddique, Muhammad Asif, Hijaz Ahmad, Sameh Askar, and Shahid Hussain Gurmani. "Extension of correlation coefficient based TOPSIS technique for interval-valued Pythagorean fuzzy soft set: A case study in extract, transform, and load techniques." PLOS ONE 18, no. 10 (2023): e0287032. http://dx.doi.org/10.1371/journal.pone.0287032.

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Correlation is an essential statistical concept for analyzing two dissimilar variables’ relationships. Although the correlation coefficient is a well-known indicator, it has not been applied to interval-valued Pythagorean fuzzy soft sets (IVPFSS) data. IVPFSS is a generalized form of interval-valued intuitionistic fuzzy soft sets and a refined extension of Pythagorean fuzzy soft sets. In this study, we propose the correlation coefficient (CC) and weighted correlation coefficient (WCC) for IVPFSS and examine their necessary properties. Based on the proposed correlation measures, we develop a pr

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16

Panika, Ashok, Amit Bhardwaj, Sunita Raturi, Virag Bhatia, and Prerna Raje Batham. "Stress evaluation during simultaneous intrusion and retraction of maxillary anteriors with mini-implants: A finite element analysis." Journal of Contemporary Orthodontics 6, no. 2 (2022): 55–59. http://dx.doi.org/10.18231/j.jco.2022.011.

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Space closure is one of the most challenging process in orthodontics and require a comprehension of biomechanics in order to avoid undesirable side effects. The versatility of Mini implants has increased its demand in respect of anchorage, minimizing reciprocal effects and reducing overall treatment duration. Bi-alveolar dental protrusion is one of the common malocclusion encountered by orthodontist and the most common treatment modality includes extraction of 4 first premolars followed by intrusion and retraction of maxillary anteriors to obtain ideal dental and soft tissue profile.Force appl

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17

Capitani, G. C., T. Catelani, P. Gentile, A. Lucotti, and M. Zema. "Cannonite [Bi2O(SO4)(OH)2] from Alfenza (Crodo, Italy): crystal structure and morphology." Mineralogical Magazine 77, no. 8 (2013): 3067–79. http://dx.doi.org/10.1180/minmag.2013.077.8.02.

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AbstractCanonite from Alfenza grows as crowded, radiating, acicular aggregates covering bismuthinite crystals. Individual crystals have a lozenge-shaped habit on {010}, the presumed cleavage plane of cannonite. Crystal structure refinements in the P21/c space group of two single crystals led to the following cell parameters: a = 7.7196(5) Å, b = 13.8856(9), c = 5.6980(4), b = 109.174(1)º (R1 = 0.0424); and a = 7.7100(8), b = 13.8717(14), c = 5.6939(6), b = 109.155(2)º (R1 = 0.0438). Hydrogen atoms were also localized in the density-difference Fourier map and refined with soft restraints on the

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18

Kyrylchuk, A. M., H. A. Dutova, S. M. Hryniv, et al. "Yield plasticity of new varieties of soft winter wheat (Triticum aestivum L.) in different soil and climatic conditions of Ukraine." Plant varieties studying and protection 20, no. 1 (2024): 58–68. http://dx.doi.org/10.21498/2518-1017.20.1.2024.297224.

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Purpose. To determine the level of productivity of new varieties of soft winter wheat, their stability and plasticity when grown in different soil and climatic conditions of Ukraine. Methods. The field trial was carried out in 2022–2023 under the conditions of the research stations of the Ukrainian Institute for Plant Variety Examination (UIPVE) in the Steppe, Forest Steppe and Polissia soilclimatic zones. The peculiarities of plant growth and development, the yield formation of 34 new varieties of soft winter wheat were studied. Plasticity and stability of yield formation were calculated and

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19

Kyrylchuk, A. M., H. A. Dutova, S. M. Hryniv, et al. "Yield plasticity of new varieties of soft winter wheat (Triticum aestivum L.) in different soil and climatic conditions of Ukraine." Plant Varieties Studying and Protection 20, no. 1 (2024): 58–68. https://doi.org/10.21498/2518-1017.20.1.2024.297224.

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<strong>Purpose</strong>. To determine the level of productivity of new varieties of soft winter wheat, their stability and plasticity when grown in different soil and climatic conditions of Ukraine. <strong>Methods</strong>. The field trial was carried out in 2022–2023 under the conditions of the research stations of the Ukrainian Institute for Plant Variety Examination (UIPVE) in the Steppe, Forest Steppe and Polissia soilclimatic zones. The peculiarities of plant growth and development, the yield formation of 34 new varieties of soft winter wheat were studied. Plasticity and stab

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20

Agrafonov, Yury V., and Ivan S. Petrushin. "Random First Order Transition from a Supercooled Liquid to an Ideal Glass (Review)." Kondensirovannye sredy i mezhfaznye granitsy = Condensed Matter and Interphases 22, no. 3 (2020): 291–302. http://dx.doi.org/10.17308/kcmf.2020.22/2959.

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The random first order transition theory (RFOT) describing the transition from a supercooled liquid to an ideal glass has been actively developed over the last twenty years. This theory is formulated in a way that allows a description of the transition from the initial equilibrium state to the final metastable state without considering any kinetic processes. The RFOT and its applications for real molecular systems (multicomponent liquids with various intermolecular potentials, gel systems, etc.) are widely represented in English-language sources. However, these studies are practically not desc

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21

Ul-Hakim, Aziz, Hidayatullah Khan, Imtiaz Ahmad, and Asghar Khan. "Fuzzy Bipolar Soft Quasi-ideals in Ordered Semigroups." Punjab University Journal of Mathematics, June 29, 2022, 375–409. http://dx.doi.org/10.52280/pujm.2022.540603.

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In this paper, we introduce the concept of fuzzy bipolar soft quasi-ideals in ordered semigroup theory. First some characteristics of the structure are examined and hence a few useful results are established. It is proved, among others, that the concepts of fuzzy bipolar soft bi-ideal and fuzzy bipolar soft quasi-ideal in regular ordered semigroups coincide. In addition, fuzzy bipolar soft quasi-ideals over ordered semigroups are linked with the ordinary quasi-ideals. Thereafter, a few classes of ordered semigroups are characterized in terms of their fuzzy bipolar soft left, fuzzy bipolar soft

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22

B., Elavarasan, Porselvi K., Y.B.Jun та Muhiuddin G. "Neutrosophic ℵ-filters in semigroups". 29 червня 2022. https://doi.org/10.5281/zenodo.6774914.

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Models of universe problems are brimming with complexities and uncertainties in almost every field of study, including engineering, mathematics, medical sciences, computer science, physics, management sciences, artificial intelligence, and operations research. To address these uncertainties, various theories have been developed, including probability, rough sets, fuzzy sets, soft ideals, and neutrosophic sets. Neutrosophic set theory is the focus of this paper. In this paper, we introduce the notions of neutrosophic &alefsym;-filters and neutrosophic &alefsym;-bi-filters in a semigroup and inv

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23

MEENAKSHİ1, S., G. MUHİUDDİN, Deena AL-KADİ, and B. ELAVARASAN. "Hybrid bi-ideals in Near- Subtraction Semigroups." Hacettepe Journal of Mathematics and Statistics, January 10, 2024, 1–14. http://dx.doi.org/10.15672/hujms.1229332.

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The fuzzy set is an excellent solution for dealing with ambiguity and for expressing people’s hesitation in regular life. Soft set theory is an innovative method for solving practical issues. This is useful in resolving a number of problems, and a lot of progress is being made at the moment. In order to develop hybrid structures, Jun et al. fused the fuzzy and soft sets. In this paper, the notion of hybrid bi-ideals in near-subtraction semigroups is proposed and their associated results are discussed. The notion of hybrid intersections is examined. Furthermore, we establish some results relate

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24

"Fuzzy Soft Ideal, Fuzzy Soft Bi-Ideal, Fuzzy Soft Quasi-Ideal and Fuzzy Soft Interior Ideal Over Ordered Γ−Semiring". Asia Pacific Journal of Mathematics, 2018. http://dx.doi.org/10.28924/apjm/5-1-60-84.

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25

N.Kannappa and B.Fairosekani. "Smarandache Soft-Neutrosophic-Near Ring and Soft- Neutrosophic Bi-Ideal." October 8, 2015. https://doi.org/10.5281/zenodo.34901.

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26

"Fuzzy Soft Ternary Γ-Semirings-II". International Journal of Engineering and Advanced Technology 9, № 1S5 (2019): 235–39. http://dx.doi.org/10.35940/ijeat.a1057.1291s52019.

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In this paper we are introducing the notions of “fuzzy soft quasi T  -ideal(FSQTΓI), Fuzzy soft bi-T  - ideal(FSBTΓI)” are introduced. It is proved that (1) A “fuzzy soft set (q,P1, ) over a ternary Γ-semiring(TΓ-SR)”T is a FSQTΓI over T iff  a  P1, q(a)   is a “quasi-ideal of T”. (2) Every “Fuzzy soft left (right, lateral) T  - ideal[FSLTΓI(FSMTΓI, FSRTΓI)] over a TΓ-SR T is a FSQTΓI over T”: (3)Every “FSQTΓI is a fuzzy soft T  -SR over T”: (4) Let “(r,A,  ), (l,B,  ) and (m,C,  ) be FSLTΓI, FSMTΓI, FSRTΓI over T”, respectively. Then “(r,A,  )  (l,B,  )  (m,C,  ) is a FSQTΓI

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27

Algattas, Hanna N., Ali A. Alattar, David O. Okonkwo, et al. "A novel classification and management scheme for craniocervical junction disorders with ventral neural element compression." Journal of Neurosurgery, July 1, 2023, 1–10. http://dx.doi.org/10.3171/2023.5.jns23677.

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OBJECTIVE Craniocervical junction (CCJ) pathologies with ventral neural element compression are poorly understood, and appropriate management requires accurate understanding, description, and a more uniform nomenclature. The aim of this study was to evaluate patients to identify anatomical clusters and better classify CCJ disorders with ventral compression and guide treatment. METHODS A retrospective review of adult and pediatric patients with ventral CCJ compression from 2008 to 2022 at a single center was performed. The incidence of anatomical abnormalities and compressive etiologies was ass

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28

Liao, Haiyang, Jiayi Su, Jieling Han, et al. "An Intrinsic Self‐Healable, Anti‐Freezable And Ionically Conductive Hydrogel for Soft Ionotronics Induced by Imidazolyl Cross‐Linker Molecules Anchored with Dynamic Disulfide Bonds." Macromolecular Rapid Communications, December 29, 2023. http://dx.doi.org/10.1002/marc.202300613.

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AbstractHydrogels are ideal materials for flexible electronic devices based on their smooth ion channels and considerable mechanical flexibility. A substantial volume of aqueous solution is required to enable the smooth flow of ions, resulting in the agony of low‐temperature freezing; besides, long‐term exposure to bending/tensile tress triggers fatigue issues. Therefore, it is a great challenge to prepare hydrogels with both freeze‐resistance and long‐term durability. Herein, a polyacrylic acid‐based hydrogel with both hydrophobic interaction and dynamic reversible covalent bonding cross‐link

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Zahedi, Farbod, Hamidreza Kia, and Mohammad Khalilzadeh. "A hybrid metaheuristic approach for solving a bi-objective capacitated electric vehicle routing problem with time windows and partial recharging." Journal of Advances in Management Research, May 11, 2023. http://dx.doi.org/10.1108/jamr-01-2023-0007.

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PurposeThe vehicle routing problem (VRP) has been widely investigated during last decades to reduce logistics costs and improve service level. In addition, many researchers have realized the importance of green logistic system design in decreasing environmental pollution and achieving sustainable development.Design/methodology/approachIn this paper, a bi-objective mathematical model is developed for the capacitated electric VRP with time windows and partial recharge. The first objective deals with minimizing the route to reduce the costs related to vehicles, while the second objective minimize

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