Academic literature on the topic 'Plithogenic sets'

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Journal articles on the topic "Plithogenic sets"

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S.Sudha, S., Nivetha Martin, and Florentin Smarandache. "Applications of Extended Plithogenic Sets in Plithogenic Sociogram." International Journal of Neutrosophic Science 20, no. 4 (2023): 08–35. http://dx.doi.org/10.54216/ijns.200401.

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The theory of plithogeny developed by Smarandache is described as a more generalized form of representing sets of different nature such as crisp, fuzzy, intuitionistic and neutrosophic. Plithogenic set comprises degree of appurtenance and contradiction degree with respect only to the dominant attribute. This paper introduces extended plithogenic sets comprising degrees of appurtenance and contradiction with respect to both dominant and recessive attributes. The extension of the 5-tuple Plithogenic sets to a 7- tuple plithogenic sets helps in developing a more comprehensive kind of Plithogenic
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Fujita, Takaaki. "Fuzzy MultiDirected Sets, Neutrosophic MultiDirected Sets, Plithogenic MultiDirected Sets, Soft MultiDirected Sets, and Hypersoft MultiDirected Sets." HyperSoft Set Methods in Engineering 3 (April 23, 2025): 70–88. https://doi.org/10.61356/j.hsse.2025.3470.

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A fuzzy set generalizes classical sets by assigning each element a membership value in the interval [0, 1], thereby capturing partial or uncertain membership. A Neutrosophic Set extends fuzzy sets by introducing three independent membership degrees: truth, indeterminacy, and falsity, each ranging within [0, 1]. A Plithogenic Set further generalizes classical and fuzzy sets by incorporating attributes, their possible values, and a measure of contradiction. Other notable frameworks for handling uncertainty include the Soft Set and Hypersoft Set, which provide flexible parameterized approaches. A
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Martin, Nivetha. "Introduction to Possibility Plithogenic Soft Sets." Plithogenic Logic and Computation 1 (April 12, 2024): 61–72. http://dx.doi.org/10.61356/j.plc.2024.1101.

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Plithogenic sets are versatile in nature, and they are widely applied in decision making. However, the generalization of Plithogenic sets is essential to make the process of deriving optimal solutions more comprehensive. Hence, this paper introduces the concept of Possibility Plithogenic Soft Sets (PPSS) with the aim of developing a generalized form of Plithogenic soft sets. The types of PPSS,union and intersection operations, and similarity measures with possibility degrees are discussed. A practical application of Possibility Plithogenic Soft Sets is also presented in this research work to i
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J . Jayasudha. "Plithogenic Hesitant Fuzzy Soft Sets." Advances in Nonlinear Variational Inequalities 28, no. 7s (2025): 361–72. https://doi.org/10.52783/anvi.v28.4531.

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Plithogenic sets are used extensively in decision-making processes because of their versatility. In this paper we introduced the concept of Plithogenic Hesitant Fuzzy Soft Sets (P-HFSSs) .The paper also discusses other fundamental operations like union, intersection, compliment and some set theoretical operations on Plithogenic Hesitant Fuzzy Soft Sets. Further it investigates a similarity measure between two P-HFSSs.
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Sudha, Sikkanan, Ravi Priya, Nivetha Martin, Said Broumi, and Florentin Smarandache. "Combined plithogenic hypersoft sets in decision making on supplier selection with different MCDM approaches." Engineering review 44, no. 4 (2024): 122–40. https://doi.org/10.30765/er.2686.

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Decision making methods integrated with Plithogenic sets are highly feasible and resilient in designing optimal solutions. This research work identifies the research gaps of limited applications of combined plithogenic hypersoft sets (CPHSS) and hence proposes a supplier selection decision problem with an integrated approach combining CPHSS with MCDM methods. A generalized form of Plithogenic accuracy function is used in determining the plithogenic accuracy matrix to which the prominent ranking methods of TOPSIS, ELECTRE, VIKOR and MAIRCA are applied. The proposed hybrid decision approach is i
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Nivetha, Nivetha, Sulbha Raorane, N. Ramila Gandhi, R. Priya, P. Pandiammal, and Nivetha Martin. "Plithogenic Sociogram based Plithogenic Cognitive Maps Approach in Sustainable Industries." International Journal of Neutrosophic Science 24, no. 2 (2024): 30–41. http://dx.doi.org/10.54216/ijns.240203.

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The theory of Plithogeny is primarily attribute based. Plithogenic Sociogram (PS) and Plithogenic cognitive maps (PCM) are distinct decision-making approaches developed to deal with attributes. This paper proposes an integrated decision-making model combining the approaches of PS with PCM and this sets the beginning of new genre of PCM. The development of this model is applied in investigating the association between the factors pertinent to the promotion of sustainable industries. This work also compares the working of the proposed integrated model of PCM with PS and the independent working o
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Ahmed, Nehmat, and Osama Pirbal. "Plithogenic Crisp Hypersoft Topology." European Journal of Pure and Applied Mathematics 17, no. 4 (2024): 3043–60. https://doi.org/10.29020/nybg.ejpam.v17i4.5401.

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In this paper, we deal with the plithogenic crisp hypersoft set. This notion is more adaptable than the hypersoft set and more suited to challenges involving decision-making. Consequently, the topology defined by the collection of this type of set will be of great importance. Through this paper, first we redefine the set operations on this type of set (set theoretic). Then, we introduce plithogenic crisp hypersoft topological spaces, which are defined over an initial plithogenic universal set with a fixed set of parameters. The plithogenic crisp hypersoft set considers the degree of appurtenan
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R, Hema, Sudharani R, and Kavitha M. "A Novel Approach on Plithogenic Interval Valued Neutrosophic Hypersoft Sets and its Application in Decision Making." Indian Journal of Science and Technology 16, no. 32 (2023): 2494–502. https://doi.org/10.17485/IJST/v16i32.1302.

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Abstract <strong>Objectives:</strong>&nbsp;In problem solving process, we have advanced the study of plithogenic interval valued neutrosophic hypersoft set, to analyse with all the appendages and traits under consideration for getting the better accuracy for the multi criterion decision making environment.&nbsp;<strong>Methods:</strong>&nbsp;Based on the combination of hypersoft sets, plithogenic sets and neutrosophic fuzzy sets, a plithogenic interval valued neutrosophic hypersoft set has been proposed.&nbsp;<strong>Findings:</strong>&nbsp;The tnorm , tconorm, accuracy function and plithogeni
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Quek, Shio Gai, Ganeshsree Selvachandran, Florentin Smarandache, et al. "Entropy Measures for Plithogenic Sets and Applications in Multi-Attribute Decision Making." Mathematics 8, no. 6 (2020): 965. http://dx.doi.org/10.3390/math8060965.

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Plithogenic set is an extension of the crisp set, fuzzy set, intuitionistic fuzzy set, and neutrosophic sets, whose elements are characterized by one or more attributes, and each attribute can assume many values. Each attribute has a corresponding degree of appurtenance of the element to the set with respect to the given criteria. In order to obtain a better accuracy and for a more exact exclusion (partial order), a contradiction or dissimilarity degree is defined between each attribute value and the dominant attribute value. In this paper, entropy measures for plithogenic sets have been intro
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Fujita, Takaaki, and Florentin Smarandache. "Short Communication of Big Plithogenic Science and Deep Plithogenic Science." SciNexuses 2 (January 13, 2025): 1–11. https://doi.org/10.61356/j.scin.2025.2463.

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Big Science refers to large-scale, well-funded collaborative research designed to refine established theories and produce significant experimental or observational data. In contrast, Deep Science emphasizes reexamining fundamental principles, exploring alternative frameworks, and proposing transformative theories to tackle core scientific challenges. The relationship between Big Science and Deep Science has been explored in earlier studies [49]. This paper provides a systematic re-evaluation of these concepts and investigates their extensions using the framework of plithogenic sets [46]—a math
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Books on the topic "Plithogenic sets"

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Optimization Theory Based on Neutrosophic and Plithogenic Sets. Elsevier, 2020. http://dx.doi.org/10.1016/c2019-0-00436-0.

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Optimization Theory Based on Neutrosophic and Plithogenic Sets. Elsevier Science & Technology, 2020.

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Smarandache, Florentin, and Mohamed Abdel-Baset. Optimization Theory Based on Neutrosophic and Plithogenic Sets. Elsevier Science & Technology Books, 2020.

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Edalatpanah, S. A. Advances in Neutrosophic and Plithogenic Sets for Engineering and Sciences: Theory, Models, and Applications. Tech Science Press, 2023.

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Edalatpanah, S. A. Advances in Neutrosophic and Plithogenic Sets for Engineering and Sciences: Theory, Models, and Applications. Tech Science Press, 2023.

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Vázquez, Maikel Yelandi Leyva. Plithogenics and New Types of Soft Sets. IGI Global, 2024.

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Leyva-Vazquez, Maikel. Plithogenics and New Types of Soft Sets. IGI Global, 2024.

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Leyva-Vazquez, Maikel. Plithogenics and New Types of Soft Sets. IGI Global, 2024.

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Book chapters on the topic "Plithogenic sets"

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Öztaş, Gülin Zeynep, Esra Aytaç Adalı, Ayşegül Tuş, Tayfun Öztaş, and Abdullah Özçil. "An Alternative Approach for Performance Evaluation: Plithogenic Sets and DEA." In Advances in Intelligent Systems and Computing. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-51156-2_86.

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Arora, Divya, Devendra K. Tayal, and Sumit K. Yadav. "A context-based approach for word-level sentiment analysis using Plithogenic sets." In Intelligent Computing and Communication Techniques. CRC Press, 2025. https://doi.org/10.1201/9781003635680-62.

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Özçil, Abdullah, Ayşegül Tuş, Gülin Zeynep Öztaş, Esra Aytaç Adalı, and Tayfun Öztaş. "The Novel Integrated Model of Plithogenic Sets and MAIRCA Method for MCDM Problems." In Advances in Intelligent Systems and Computing. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-51156-2_85.

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Martin, Nivetha, R. Priya, and Florentin Smarandache. "Generalized Plithogenic Sets in Multi-Attribute Decision Making." In Advances in Chemical and Materials Engineering. IGI Global, 2024. https://doi.org/10.4018/979-8-3693-3204-7.ch020.

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The developments in the field of Plithogeny find extensive applications in multi-attribute decision making. This chapter proposes the generalized version of plithogenic sets as an extension of extended plithogenic sets. The generalized plithogenic sets are of 9-tuple form comprising realistic representations of different attribute types. The attributes are categorized into dominant, recessive, and satisfactory in a generalized plithogenic set. A multi-attribute decision making model on material selection with representations of generalized Plithogenic sets is formulated in this chapter. The pr
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Martin, Nivetha, N. Angel, P. Pandiammal, Ramila N. Gandhi, and Florentin Smarandache. "Plithogenic Fermatean-Based Plithogenic Cognitive Map Decision-Making Model." 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.ch002.

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The use of plithogenic cognitive maps is instrumental in tackling intricate decision-making structures. These models, utilizing plithogenic representations, enable the examination of interconnected influences among decision-making factors. This chapter introduces a novel type of plithogenic cognitive maps employing plithogenic Fermatean sets representations. The suggested decision-making model is employed to analyze the effects of digitalized educational system on the learning community. A comparative assessment of the effectiveness and competence of this model against plithogenic cognitive ma
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Martin, Nivetha. "Plithogenic SWARA-TOPSIS Decision Making on Food Processing Methods with Different Normalization Techniques." In Decision Making [Working Title]. IntechOpen, 2021. http://dx.doi.org/10.5772/intechopen.100548.

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Decision making (DM) is a process of choosing the optimal alternative with the maximum extent of criteria satisfaction. The challenging aspect in making optimal decisions is the suitable choice of multi-criteria decision-making (MCDM) methods that consider the initial input as the expert’s opinion on criteria satisfaction by the alternatives. This initial decision-making matrix representation discriminates MCDM as fuzzy, intuitionistic, neutrosophic to handle the decision-making environment that is characterized by uncertainty, impreciseness, and indeterminacy, respectively. A generalized kind
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Abdel-Basset, Mohamed, Rehab Mohamed, Abd El-Nasser H. Zaied, Abduallah Gamal, and Florentin Smarandache. "Solving the supply chain problem using the best-worst method based on a novel Plithogenic model." In Optimization Theory Based on Neutrosophic and Plithogenic Sets. Elsevier, 2020. http://dx.doi.org/10.1016/b978-0-12-819670-0.00001-9.

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El-Ghareeb, Haitham A. "Neutrosophic-based domain-specific languages and rules engine to ensure data sovereignty and consensus achievement in microservices architecture." In Optimization Theory Based on Neutrosophic and Plithogenic Sets. Elsevier, 2020. http://dx.doi.org/10.1016/b978-0-12-819670-0.00002-0.

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Aslam, Muhammad, Muhammad Azam, Liaquat Ahmad, and Florentin Smarandache. "Product acceptance determination using repetitive sampling based on process loss consideration under neutrosophic numbers." In Optimization Theory Based on Neutrosophic and Plithogenic Sets. Elsevier, 2020. http://dx.doi.org/10.1016/b978-0-12-819670-0.00003-2.

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El-Ghareeb, Haitham A. "Intelligent and adaptive microservices and neutrosophic-based learning management systems." In Optimization Theory Based on Neutrosophic and Plithogenic Sets. Elsevier, 2020. http://dx.doi.org/10.1016/b978-0-12-819670-0.00004-4.

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Conference papers on the topic "Plithogenic sets"

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Dhivya E. and A. Arokia Lancy. "Near plithogenic hypersoft sets." In 2ND INTERNATIONAL CONFERENCE ON MATHEMATICAL TECHNIQUES AND APPLICATIONS: ICMTA2021. AIP Publishing, 2022. http://dx.doi.org/10.1063/5.0108639.

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