Plithogenic Sets And Their Application In Decision Making
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Plithogenic Sets And Their Application In Decision Making
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Author : S. Gomathy
language : en
Publisher: Infinite Study
Release Date : 2020-12-01
Plithogenic Sets And Their Application In Decision Making written by S. Gomathy and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-01 with Mathematics categories.
This paper aims to test whether Plithogenic aggregation operation is more effective than other sets in its accuracy, while decision making. In order to obtain a better accuracy, the Plithogenic aggregation operation such as Fuzzy set [FS], Intuitionistic fuzzy set [IFS] and Neutrosophic set [NS] used tnorm and tconorm. An illustration is examined in this paper to prove the result of better accuracy using plithogenic aggregation operators in decision making.
Entropy Measures For Plithogenic Sets And Applications In Multi Attribute Decision Making
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Author : Shio Gai Quek
language : en
Publisher: Infinite Study
Release Date :
Entropy Measures For Plithogenic Sets And Applications In Multi Attribute Decision Making written by Shio Gai Quek and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
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 introduced.
Plithogenic Cognitive Maps In Decision Making
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Author : Nivetha Martin
language : en
Publisher: Infinite Study
Release Date :
Plithogenic Cognitive Maps In Decision Making written by Nivetha Martin and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
Plithogenic sets introduced by Smarandache (2018) have disclosed new research vistas and this paper introduces the novel concept of plithogenic cognitive maps (PCM) and its applications in decision making. The new approach of defining instantaneous state neutrosophic vector with the confinement of indeterminacy to (0,1] is proposed to quantify the degree of indeterminacy.
Topsis By Using Plithogenic Set In Covid 19 Decision Making
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Author : C. Sankar
language : en
Publisher: Infinite Study
Release Date : 2020-06-01
Topsis By Using Plithogenic Set In Covid 19 Decision Making written by C. Sankar and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-01 with Mathematics categories.
COVID-19 is pandemic affecting most of the country globally. It is an infectious disease that is affecting most of the people and it is very difficult to diagnose and treat the diseased patient. Generally asymptotic patients recover without any treatment. Patients with other illness such as Hypertension, Heart and Lung problems, Diabetic patients require intense care and treatment. In such cases, a team of doctors work together. The combination of all the experts’ opinions is needed for efficient treatment. Often, the opinion of doctors depends on their experience and involves some differences. Further, the expert’s opinion is in linguistic terms. Plithogenic sets provide a mathematical tool for aggregation of the experts’ opinion expressed in linguistic terms. Thus, this work aims to employ plithogenic neutrosophic number to rank the diseased patients affected with COVID-19. Hence, we propose an Order Preference Technique by Similarity to Ideal Solutions (TOPSIS) using Plithogenic sets.
Applications Of Extended Plithogenic Sets In Plithogenic Sociogram
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Author : S. Sudha
language : en
Publisher: Infinite Study
Release Date : 2023-01-01
Applications Of Extended Plithogenic Sets In Plithogenic Sociogram written by S. Sudha and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-01 with Mathematics categories.
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 sociogram. The newly developed plithogenic sets and its implications in Plithogenic sociogram is validated by the decision making problem on food processing industries. The obtained results using extended plithogenic sets are more promising in comparison to the conventional plithogenic sets. The proposed kind of plithogenic sets will benefit the decision makers to make optimal decisions based on both optimistic and pessimistic approaches.
Optimization Theory Based On Neutrosophic And Plithogenic Sets
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Author : Florentin Smarandache
language : en
Publisher: Academic Press
Release Date : 2020-01-14
Optimization Theory Based On Neutrosophic And Plithogenic Sets written by Florentin Smarandache and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-14 with Mathematics categories.
Optimization Theory Based on Neutrosophic and Plithogenic Sets presents the state-of-the-art research on neutrosophic and plithogenic theories and their applications in various optimization fields. Its table of contents covers new concepts, methods, algorithms, modelling, and applications of green supply chain, inventory control problems, assignment problems, transportation problem, nonlinear problems and new information related to optimization for the topic from the theoretical and applied viewpoints in neutrosophic sets and logic. All essential topics about neutrosophic optimization and Plithogenic sets make this volume the only single source of comprehensive information New and innovative theories help researchers solve problems under diverse optimization environments Varied applications address practitioner fields such as computational intelligence, image processing, medical diagnosis, fault diagnosis, and optimization design
A Novel Approach Of Refined Plithogenic Neutrosophic Sets In Multi Criteria Decision Making
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Author : S.P. Priyadharshini
language : en
Publisher: Infinite Study
Release Date :
A Novel Approach Of Refined Plithogenic Neutrosophic Sets In Multi Criteria Decision Making written by S.P. Priyadharshini and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
In decision-making problems with sub-attributes Refined Plithogenic Neutrosophic Sets(RPNS) are efficiently used by considering their reality, indeterminacy and falsehood components. In this article a few concepts of RPNS along with union, intersection, complement and partial orders are introduced in a unique approach to cope up with uncertain and conflicting data. Some ideal properties of RPNS based on these perceptions have also been studied. We will implement the concept in order to evaluate the efficacy of the proposed methodology of RPNS in multi criteria decision making with the numerical examples.
Handbook Of Research On The Applications Of Neutrosophic Sets Theory And Their Extensions In Education
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Author : Broumi, Said
language : en
Publisher: IGI Global
Release Date : 2023-06-09
Handbook Of Research On The Applications Of Neutrosophic Sets Theory And Their Extensions In Education written by Broumi, Said and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-09 with Mathematics categories.
Fuzzy sets have experienced multiple expansions since their conception to enhance their capacity to convey complex information. Intuitionistic fuzzy sets, image fuzzy sets, q-rung orthopair fuzzy sets, and neutrosophic sets are a few of these extensions. Researchers and academics have acquired a lot of information about their theories and methods for making decisions. However, only a small number of research findings discuss how neutrosophic sets theory and their extensions (NSTEs) are used in education. The Handbook of Research on the Applications of Neutrosophic Sets Theory and Their Extensions in Education implements fresh scientific approaches to enhance the quality of decisions under neutrosophic environments, particularly within education. Covering key topics such as data modeling, educational technologies, decision making, and learning management systems, this major reference work is ideal for instructional designers, researchers, academicians, scholars, practitioners, instructors, and students.
Neutrosophic Sets And Systems Vol 38 2020
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date :
Neutrosophic Sets And Systems Vol 38 2020 written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.
Introduction To Combined Plithogenic Hypersoft Sets
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Author : Nivetha Martin
language : en
Publisher: Infinite Study
Release Date :
Introduction To Combined Plithogenic Hypersoft Sets written by Nivetha Martin and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
Plithogenic Hypersoft sets was introduced by Florentin Smarandache, who has extended crisp sets, fuzzy sets, intuitionistic sets, neutrosophic sets to plithogenic sets. The plithogenic sets considers the degree of appurtenance of the elements with respect to the attribute system. Smarandache has presented the classification of the plithogenic hypersoft sets and the applications of plithogenic fuzzy whole hypersoft sets in multi attribute decision making.