Plithogenic Sets And Their Application In Decision Making PDF Download
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| Author | : S. Gomathy |
| Publisher | : Infinite Study |
| Total Pages | : 17 |
| Release | : 2020-12-01 |
| Genre | : Mathematics |
| ISBN | : |
Download Plithogenic sets and their application in decision making Book in PDF, ePub and Kindle
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.
| Author | : Florentin Smarandache |
| Publisher | : Infinite Study |
| Total Pages | : 143 |
| Release | : 2017-10-01 |
| Genre | : Mathematics |
| ISBN | : |
Download Plithogeny, Plithogenic Set, Logic, Probability, and Statistics Book in PDF, ePub and Kindle
We introduce for the first time the concept of plithogeny in philosophy and, as a derivative, the concepts of plithogenic set / logic / probability / statistics in mathematics and engineering – and the degrees of contradiction (dissimilarity) between the attributes’ values that contribute to a more accurate construction of plithogenic aggregation operators and to the plithogenic relationship of inclusion (partial ordering).
| Author | : S. Sudha |
| Publisher | : Infinite Study |
| Total Pages | : 28 |
| Release | : 2023-01-01 |
| Genre | : Mathematics |
| ISBN | : |
Download Applications of Extended Plithogenic Sets in Plithogenic Sociogram Book in PDF, ePub and Kindle
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.
| Author | : Florentin Smarandache |
| Publisher | : Academic Press |
| Total Pages | : 448 |
| Release | : 2020-01-14 |
| Genre | : Mathematics |
| ISBN | : 0128199083 |
Download Optimization Theory Based on Neutrosophic and Plithogenic Sets Book in PDF, ePub and Kindle
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
| Author | : Nivetha Martin |
| Publisher | : Infinite Study |
| Total Pages | : 13 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
Download Plithogenic Cognitive Maps in Decision Making Book in PDF, ePub and Kindle
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.
| Author | : Shio Gai Quek |
| Publisher | : Infinite Study |
| Total Pages | : 17 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
Download Entropy Measures for Plithogenic Sets and Applications in Multi-Attribute Decision Making Book in PDF, ePub and Kindle
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.
| Author | : Michael Gr. Voskoglou |
| Publisher | : Infinite Study |
| Total Pages | : 14 |
| Release | : 2023-01-01 |
| Genre | : Mathematics |
| ISBN | : |
Download An Application of Neutrosophic Sets to Decision Making Book in PDF, ePub and Kindle
Frequently in real life situations decision making takes place under fuzzy conditions, because the corresponding goals and/or the existing constraints are not clearly defined. Maji et al. introduced in 2002 a method of parametric decision making using soft sets as tools and representing their tabular form as a binary matrix. As we explain here, however, in cases where some or all of the parameters used for the characterization of the elements of the universal set are of fuzzy texture, their method does not give always the best decision making solution. In order to tackle this problem, we modified in earlier works the method of Maji et al. by replacing the binary elements in the tabular form of the corresponding soft set either by grey numbers or by triangular fuzzy numbers. In this work, in order to tackle more efficiently cases in which the decision maker has doubts even about the correctness of the fuzzy/qualitative characterizations assigned to some or all of the elements of the universal set, we replace the binary elements of the tabular form by neutrosophic triplets. Our new, neutrosophic decision making method is illustrated by an application concerning the choice of a new player by a soccer club.
| Author | : Florentin Smarandache |
| Publisher | : Infinite Study |
| Total Pages | : 662 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
Download Neutrosophic Sets and Systems, Vol. 38, 2020 Book in PDF, ePub and Kindle
“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.
| Author | : C. Sankar |
| Publisher | : Infinite Study |
| Total Pages | : 11 |
| Release | : 2020-06-01 |
| Genre | : Mathematics |
| ISBN | : |
Download TOPSIS by using Plithogenic Set in COVID-19 Decision Making Book in PDF, ePub and Kindle
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.
| Author | : Nivetha Martin |
| Publisher | : Infinite Study |
| Total Pages | : 8 |
| Release | : 2020-07-01 |
| Genre | : Mathematics |
| ISBN | : |
Download Introduction to Combined Plithogenic Hypersoft Sets Book in PDF, ePub and Kindle
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. Inspired by these research works, the concept of combined plithogenic hypersoft sets is introduced in this article. The representations of the degree of appurtenance of the elements determines the type of plithogenic hypersoft set, if it takes a combination of values then the new archetype of plithogenic hypersoft sets gets emerged into decision making scenario. This research work is put forth to project the realistic perception of the experts in the construction process of optimal conclusions.
