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Relevant bibliographies by topics / Neutrosophic ideals

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Academic literature on the topic 'Neutrosophic ideals'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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Journal articles on the topic "Neutrosophic ideals"

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Saber, Yaser, Fahad Alsharari, and Florentin Smarandache. "On Single-Valued Neutrosophic Ideals in Šostak Sense." Symmetry 12, no. 2 (2020): 193. http://dx.doi.org/10.3390/sym12020193.

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Neutrosophy is a recent section of philosophy. It was initiated in 1980 by Smarandache. It was presented as the study of origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. In this paper, we introduce the notion of single-valued neutrosophic ideals sets in Šostak’s sense, which is considered as a generalization of fuzzy ideals in Šostak’s sense and intuitionistic fuzzy ideals. The concept of single-valued neutrosophic ideal open local function is also introduced for a single-valued neutrosophic topological space. The basic structure, espe

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V., Amarendra Babu, Abida Begum K., and Siva Naga Malleswari V. "MBJ-Neutrosophic Positive Implicative LI-ideals, Associative LI-ideals, and Fantastic LI-ideals." International Journal of Neutrosophic Science 21, no. 2 (2023): 84–97. http://dx.doi.org/10.54216/ijns.210208.

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The MBJ-Neutrosophic positive implicative LI-ideals, the MBJ-Neutrosophic associative LI-ideals, and the MBJ-Neutrosophic fantastic LI-ideals are all introduced in this study. Of all these ideals, several their qualities and corresponding conditions were explored. We have demonstrated how every positive implicative MBJ-Neutrosophic LI-ideal evolved into an MBJ-Neutrosophic LI-ideal, MBJ-Neutrosophic implicative LI-ideal, and MBJ-Neutrosophic fantastic LI-ideal. Additionally, it was demonstrated that any MBJ-Neutrosophic fantastic LI-ideal is a MBJ-Neutrosophic associative LI-ideal.

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Satyanarayana, Bavanari, and Shake Baji. "Interval-Valued Neutrosophic N-d-ideal in d-algebra." Neutrosophic Optimization and Intelligent Systems 3 (July 25, 2024): 57–70. http://dx.doi.org/10.61356/j.nois.2024.3330.

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In this article we present the concept of interval-valued neutrosophic N-d-ideal by applying interval-valued neutrosophic N-structure to d-ideal of algebraic structure d-algebra. We proved that an interval-valued neutrosophic N-d-ideal's pre-image and image under homeomorphism and epimorphism, respectively, are also interval-valued neutrosophic N-d-ideals. We provided some characteristics of interval-valued neutrosophic N-d-ideal.

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admin, admin, P. Maragatha Meenakshi, Aiyared Iampan, and N. Rajesh. "Neutrosophic nil radicals of neutrosophic ideals in rings." International Journal of Neutrosophic Science 22, no. 4 (2023): 82–92. http://dx.doi.org/10.54216/ijns.220407.

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The notion of neutrosophic nil radicals of neutrosophic ideals in rings is introduced, and related properties are investigated. In addition, we study some relations between the nil radical of the neutrosophic polynomial ideal of the polynomial ring R[x] induced by a neutrosophic ideal of a ring R and the nil radical of a neutrosophic ideal of R. Finally, we find the result of neutrosophic nil radicals of neutrosophic ideals from the epimorphism of rings.

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Satyanarayana, Bavanari, Shake Baji та Anjaneyulu Naik K. "MBJ-Neutrosophic Structure Applied to BP-algebras: BP-subalgebras and α-ideals". Neutrosophic Systems with Applications 25, № 2 (2025): 80–88. https://doi.org/10.61356/j.nswa.2025.25471.

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In this article, we introduce the concepts of MBJ-neutrosophic BP-subalgebras and MBJ-neutrosophic α-ideals in BP-algebra by applying MBJ-neutrosophic logic to algebraic structure BP-algebra. We prove that the intersection of two MBJ-neutrosophic α-ideals and the inverse image of an MBJ-neutrosophic α-ideal are also MBJ-neutrosophic -ideals. Furthermore, we prove an MBJ-neutrosophic set is an MBJ-neutrosophic BP-subalgebra if and only if its level sets are BP-subalgebras.

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Hummdi, Ali Yahya, and Amr Elrawy. "On neutrosophic ideals and prime ideals in rings." AIMS Mathematics 9, no. 9 (2024): 24762–75. http://dx.doi.org/10.3934/math.20241205.

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<p>This article aims to introduce and explore the concept of neutrosophic ideals in the context of rings. Besides, we investigate how the property of regularity in a ring can be understood through the lens of neutrosophic ideals. We further present the concept of neutrosophic prime ideals and systematically identify all neutrosophic prime ideals in $ \mathbb{Z} $.</p>

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P. Agarwal, Ravi, Soheyb Milles, Brahim Ziane, Abdelaziz Mennouni, and Lemnaouar Zedam. "Ideals and Filters on Neutrosophic Topologies Generated by Neutrosophic Relations." Axioms 13, no. 5 (2024): 292. http://dx.doi.org/10.3390/axioms13050292.

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Recently, Milles and Hammami presented and studied the concept of a neutrosophic topology generated by a neutrosophic relation. As a continuation in the same direction, this paper studies the concepts of neutrosophic ideals and neutrosophic filters on that topology. More precisely, we offer the lattice structure of neutrosophic open sets of a neutrosophic topology generated via a neutrosophic relation and examine its different characteristics. Furthermore, we enlarge to this lattice structure the notions of ideals (respectively, filters) and characterize them with regard to the lattice operati

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Al-Masarwah, Anas, M. Kaviyarasu, Kholood Alnefaie, and M. Rajeshwari. "Fermatean Neutrosophic INK-algebras." European Journal of Pure and Applied Mathematics 17, no. 2 (2024): 1113–28. http://dx.doi.org/10.29020/nybg.ejpam.v17i2.5090.

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This paper introduces the concept of the direct product of sets that involve Fermatean neutrosophic elements in structures called INK-algebras. It defines terms like the direct product of Fermatean neutrosophic INK-ideals in INK-algebras and Fermatean neutrosophic sets (FNSs), Fermatean neutrosophic INK-ideals (FNINK-Is), and Fermatean neutrosophic closed INK-ideals (FNCINK-Is). The proof of theorems illustrating the relationships between these ideas is included in the paper. It also defines the INK-sub algebra embedded in an INK-algebra and gives a theorem elucidating the connection between t

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M., Kaviyarasu, and Rajeshwari M. "Direct Product of Neutrosophic h-ideal in INK-Algebra." International Journal of Neutrosophic Science 20, no. 1 (2023): 119–27. http://dx.doi.org/10.54216/ijns.200110.

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In this paper, “we first define the belief of direct product from neutrosophic sets in INK algebras, neutrosophic set, neutrosophic h-ideals, neutrosophic INK-subalgebra and direct product of neutrosophic h-ideals in INK algebras. Let's prove some theorems that show that there is some connection between these principles. Finally, we define the INK subalgebra of the INK algebra and then offer the ideal theorem approximately the connection between its pix and the direct product from the neutrosophic h-ideals.

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Subha, V. S., and P. Dhanalakshmi. "Ideal theory of interval neutrosophic sets in subtraction algebras." Open Journal of Mathematical Sciences 6, no. 1 (2022): 262–68. http://dx.doi.org/10.30538/oms2022.0191.

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In this paper, we introduce the notion of interval neutrosophic ideals in subtraction algebras. Also, introduce the intersection and union of interval neutrosophic sets in subtraction algebras. We prove intersection of two-interval neutrosophic ideals is also an interval neutrosophic ideal. Some exciting properties and results based on such an ideal are discussed. Moreover, we define the homomorphism and homomorphism of interval neutrosophic sets. We prove the image of an interval neutrosophic subalgebra is also an interval neutrosophic sub-algebra.

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Book chapters on the topic "Neutrosophic ideals"

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Muralikrishna, P., and M. Surya. "Study of MBJ-Neutrosophic Level Sets in β-Ideal." In Trends in Mathematics. Springer International Publishing, 2024. http://dx.doi.org/10.1007/978-3-031-37538-5_17.

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Roy, Rumi, Surapati Pramanik, and Tapan Kumar Roy. "Interval Rough Neutrosophic TOPSIS Strategy for Multi-Attribute Decision Making." In Neutrosophic Sets in Decision Analysis and Operations Research. IGI Global, 2020. http://dx.doi.org/10.4018/978-1-7998-2555-5.ch005.

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In this chapter, the authors present a new strategy for multi-attribute decision making in interval rough neutrosophic environment. They define Hamming distance and Euclidean distance between interval rough neutrosophic numbers. They also define interval rough neutrosophic relative positive ideal solution (IRNRPIS) and interval rough neutrosophic relative negative ideal solution (IRNRNIS). Then the ranking order of the alternatives is obtained by the technique for order preference by similarity to ideal solution (TOPSIS) strategy. Finally, a numerical example is provided to demonstrate the app

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Vijayabalaji, Srinivasan, Natesan Thillaigovindan, Ranganathan Rajasekaran, and Kopikrishnan Sathiyaraj. "Neutrosophic Soft-Rough Matrices." In Advances in Computer and Electrical Engineering. IGI Global, 2024. https://doi.org/10.4018/979-8-3693-6875-6.ch008.

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This work investigates the formation of neutrosophic soft-rough matrices, building on the principles of soft-rough matrix theory. Drawing from the concepts of neutrosophic markov chains and transition matrices, we introduce novel ideas in the form of Neutrosophic soft transition matrices and Neutrosophic soft-rough transition matrices. In this research, we provide a comprehensive overview of these new matrices, detailing their properties and potential applications. By presenting several examples, we illustrate how Neutrosophic soft transition matrices and Neutrosophic soft-rough transition mat

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Sweety, C. Antony Crispin, and S. Bhuvaneshwari. "Application of the Neutrosophic Spherical Sets in Education." In Handbook of Research on the Applications of Neutrosophic Sets Theory and Their Extensions in Education. IGI Global, 2023. http://dx.doi.org/10.4018/978-1-6684-7836-3.ch007.

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Neutrosophic logic is the science of artificial intelligence that enables information systems to simulate human understanding. Neutrosophic logic enables computers to understand complex concepts with indeterministic constraints. It incorporates human intellect into machines and tries to exhibit human decision-making skills. Hence, neutrosophic logic makes predictions and inferences based on its knowledge, turning it into a tool for users to explore ideas and conclude on perfect solutions for real-time problems that involve indeterminacy. Neutrosophic logic finds varied applications in the fiel

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Yapıcı Pehlivan, Nimet, and Neşe Yalçın. "Neutrosophic TOPSIS Method for Sustainable Supplier Selection in a Discount Market Chain." In Handbook of Research on Advances and Applications of Fuzzy Sets and Logic. IGI Global, 2022. http://dx.doi.org/10.4018/978-1-7998-7979-4.ch031.

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Sustainable supplier selection is one of the most important decisions for companies in sustainable supply chain management. Therefore, sustainable supplier performance evaluation and selection are of great importance in terms of economic, environmental, and social aspects of sustainable development. Sustainable supplier selection problem can be considered as a multiple-criteria decision-making (MCDM) problem. In the MCDM problems, decision-makers evaluate conflicting criteria and alternatives according to their own preferences/judgments. One of the most well-known MCDM methods is the technique

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Bathusha, Suber, Sowndharya Jayakumar, and S. Angelin Kavitha Raj. "A Novel on Virtual Social Network Analysis Utilising Interval-Valued Complex Neutrosophic Graph Structures." In Advances in Systems Analysis, Software Engineering, and High Performance Computing. IGI Global, 2024. http://dx.doi.org/10.4018/979-8-3693-2085-3.ch005.

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The interval-valued complex neutrosophic set (IVCNS), an expansion of the interval-valued neutrosophic set (IVNS), provides a more precisecharacterisation of uncertainty than traditional fuzzy sets. Fuzzy control can use it in a variety of ways. In this research study, the authors also introduce the adjacency matrix IVCNGS notion as well as the idea of an isomorphic adjacency matrix. They also introduce interval-valued complex neutrosophic graph structures (IVCNGS). They use an example to investigate a number of IVCNGS adjacency matrix properties. In addition, they introduce the ideas of edge

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Şahin, Memet, and Abdullah Kargın. "New Similarity Measure Between Single-Valued Neutrosophic Sets and Decision-Making Applications in Professional Proficiencies." In Neutrosophic Sets in Decision Analysis and Operations Research. IGI Global, 2020. http://dx.doi.org/10.4018/978-1-7998-2555-5.ch007.

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In this study, a new similarity measure for single valued neutrosophic numbers is defined. It is shown that this new similarity measure satisfies the conditions of similarity measure. This new similarity measure is used to assess professional proficiencies. In making this assessment, it is assumed that there is an imaginary ideal worker, and the authors determined the criteria of this ideal worker. Then, the rate of similarity of each worker to the ideal worker is determined with the new similarity measure. Thus, with the help of the new similarity measure, a more objective professional profic

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Chou, Shuo-Yan, Xuan-Loc Pham, and Thi Anh Tuyet Nguyen. "Interval-Valued Neutrosophic Sets to Develop Multi-Criteria Decision Making Approach for Renewable Energy Selection." In Advances in Transdisciplinary Engineering. IOS Press, 2019. http://dx.doi.org/10.3233/atde190122.

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Due to lack of indigenous conventional energy resources, renewable energy has become a potential alternative for Taiwan’s future energy supply. Numerous studies have recently emerged on renewable issues in Taiwan. However, studies that specifically consider effects of various influential parameters on evaluation and selection of renewable energy sources based on multi-criteria decision making (MCDM) approach under neutrosophic environment are still limited to some specific part of the renewable energy sources (RES). MCDM methods has become increasingly popular in solving the decision-making pr

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Martin, Nivetha, Ramila N. Gandhi, P. Pandiammal, and Florentin Smarandache. "Neutrosophic Decision Making on Teaching Methods With Indeterminacy Quantifications." In Handbook of Research on the Applications of Neutrosophic Sets Theory and Their Extensions in Education. IGI Global, 2023. http://dx.doi.org/10.4018/978-1-6684-7836-3.ch012.

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The dynamic requirements of the learners are redefining the process of teaching and learning and keeping the processes in the state of transience. The learning shall be made more effective by the right choice of the teaching method and it is necessary for every teaching method to possess certain essential attributes of flexibility, time efficiency, learner centeredness, and many other attributes. In this chapter, a decision-making problem with five criteria and eight alternatives of teaching methods is considered and the method of neutrosophic TOPSIS (technique for order preference by similari

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Ruan, Sheng-Yi, Jun Ye, and Wen-Hua Cui. "An Improved PID Tuning Method by Applying Single-Valued Neutrosophic Cosine, Tangent, and Exponential Measures and a Simulated Annealing Algorithm." In Neutrosophic Sets in Decision Analysis and Operations Research. IGI Global, 2020. http://dx.doi.org/10.4018/978-1-7998-2555-5.ch002.

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This chapter introduces an improved proportional-integral-derivative (PID) adjusting method by applying a simulated annealing algorithm (SAA) and the cosine, tangent, exponential measures of single-valued neutrosophic sets (SvNSs). For the approach, characteristic values of the unit step response (rise time, peak time, settling time, undershoot ratio, overshoot ratio, and steady-state error) in the control system should be neutrosophicated by the neutrosophic membership functions. Next, one of cosine, tangent, and exponential measures is used to obtain the similarity measure of the ideal SvNS

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Conference papers on the topic "Neutrosophic ideals"

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Murugan, Kaviyarasu, Rajeshawri Murugesan, Elavarasan Krishanasamy, Velwet Getzimah, and Karthik Krishanasamy. "Neutrosophic p-ideals applied to ink-algebras." In THE 5TH INTERNATIONAL CONFERENCE ON BUILDINGS, CONSTRUCTION, AND ENVIRONMENTAL ENGINEERING: BCEE5. AIP Publishing, 2024. http://dx.doi.org/10.1063/5.0242005.

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Jebur, Riyam Kareem, and Mohammed Jassim Mohammed. "On neutrosophic hesitant fuzzy ideals of rings." In 6TH INTERNATIONAL CONFERENCE FOR PHYSICS AND ADVANCE COMPUTATION SCIENCES: ICPAS2024. AIP Publishing, 2025. https://doi.org/10.1063/5.0265406.

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Vasu, M., and D. Ramesh Kumar. "Neutrosophic positive implicative AAA-ideals in KU-algebras." In INTERNATIONAL CONFERENCE ON RECENT TRENDS IN APPLIED MATHEMATICAL SCIENCES (ICRTAMS-2020). AIP Publishing, 2021. http://dx.doi.org/10.1063/5.0062904.

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Marina, A. Angel, and A. Francina Shalini. "On neutrosophic vague refined INK-ideals of INK-algebras." In INTERNATIONAL CONFERENCE ON EMERGING TRENDS IN ELECTRONICS AND COMMUNICATION ENGINEERING - 2023. AIP Publishing, 2024. http://dx.doi.org/10.1063/5.0212048.

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Muralikrishna, P., та Surya Manokaran. "Study of MBJ – neutrosophic level sets in β – ideal". У INTERNATIONAL CONFERENCE ON RECENT ADVANCES IN MATHEMATICS AND COMPUTATIONAL ENGINEERING: ICRAMCE 2022. AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0157552.

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Jebur, Riyam Kareem, and Mohammed Jassim Mohammed. "Some results related with neutrosophic hesitant fuzzy prime ideal and strongly prime ideal of ring." In 3RD INTERNATIONAL CONFERENCE ON MATHEMATICS, AI, INFORMATION AND COMMUNICATION TECHNOLOGIES: ICMAICT2023. AIP Publishing, 2025. https://doi.org/10.1063/5.0258456.

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