Applications Of Extended Plithogenic Sets In Plithogenic Sociogram

Author : S. Sudha,Nivetha Martin,Florentin Smarandache
Publisher : Infinite Study
Page : 28 pages
File Size : 46,5 Mb
Release : 2023-01-01
Category : Mathematics
ISBN : 8210379456XXX

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Applications of Extended Plithogenic Sets in Plithogenic Sociogram by S. Sudha,Nivetha Martin,Florentin Smarandache Pdf

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 : Nivetha Martin,Florentin Smarandache,R. Priya
Publisher : Infinite Study
Page : 15 pages
File Size : 43,9 Mb
Release : 2020-01-01
Category : Mathematics
ISBN : 8210379456XXX

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Introduction to Plithogenic Sociogram with preference representations by Plithogenic Number by Nivetha Martin,Florentin Smarandache,R. Priya Pdf

This paper introduces the concepts of Plithogenic Sociogram (PS) and Plithogenic Number (PN) where the former is the integration of plithogeny to the sociometric technique of sociogram and the latter is the generalization of fuzzy, intuitionistic and neutrosophic numbers that shall be used in representations of preferences in group dynamics. This research work outlines the conceptual development of these two newly proposed concepts and discusses the merits of the existing theory of similar kind with suitable substantiation.

Author : Florentin Smarandache
Publisher : Infinite Study
Page : 1006 pages
File Size : 47,7 Mb
Release : 2022-06-01
Category : Mathematics
ISBN : 8210379456XXX

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Collected Papers. Volume X by Florentin Smarandache Pdf

This tenth volume of Collected Papers includes 86 papers in English and Spanish languages comprising 972 pages, written between 2014-2022 by the author alone or in collaboration with the following 105 co-authors (alphabetically ordered) from 26 countries: Abu Sufian, Ali Hassan, Ali Safaa Sadiq, Anirudha Ghosh, Assia Bakali, Atiqe Ur Rahman, Laura Bogdan, Willem K.M. Brauers, Erick González Caballero, Fausto Cavallaro, Gavrilă Calefariu, T. Chalapathi, Victor Christianto, Mihaela Colhon, Sergiu Boris Cononovici, Mamoni Dhar, Irfan Deli, Rebeca Escobar-Jara, Alexandru Gal, N. Gandotra, Sudipta Gayen, Vassilis C. Gerogiannis, Noel Batista Hernández, Hongnian Yu, Hongbo Wang, Mihaiela Iliescu, F. Nirmala Irudayam, Sripati Jha, Darjan Karabašević, T. Katican, Bakhtawar Ali Khan, Hina Khan, Volodymyr Krasnoholovets, R. Kiran Kumar, Manoranjan Kumar Singh, Ranjan Kumar, M. Lathamaheswari, Yasar Mahmood, Nivetha Martin, Adrian Mărgean, Octavian Melinte, Mingcong Deng, Marcel Migdalovici, Monika Moga, Sana Moin, Mohamed Abdel-Basset, Mohamed Elhoseny, Rehab Mohamed, Mohamed Talea, Kalyan Mondal, Muhammad Aslam, Muhammad Aslam Malik, Muhammad Ihsan, Muhammad Naveed Jafar, Muhammad Rayees Ahmad, Muhammad Saeed, Muhammad Saqlain, Muhammad Shabir, Mujahid Abbas, Mumtaz Ali, Radu I. Munteanu, Ghulam Murtaza, Munazza Naz, Tahsin Oner, ‪Gabrijela Popović, Surapati Pramanik, R. Priya, S.P. Priyadharshini, Midha Qayyum, Quang-Thinh Bui, Shazia Rana, Akbara Rezaei, Jesús Estupiñán Ricardo, Rıdvan Sahin, Saeeda Mirvakili, Said Broumi, A. A. Salama, Flavius Aurelian Sârbu, Ganeshsree Selvachandran, Javid Shabbir, Shio Gai Quek, Son Hoang Le, Florentin Smarandache, Dragiša Stanujkić, S. Sudha, Taha Yasin Ozturk, Zaigham Tahir, The Houw Iong, Ayse Topal, Alptekin Ulutaș, Maikel Yelandi Leyva Vázquez, Rizha Vitania, Luige Vlădăreanu, Victor Vlădăreanu, Ștefan Vlăduțescu, J. Vimala, Dan Valeriu Voinea, Adem Yolcu, Yongfei Feng, Abd El-Nasser H. Zaied, Edmundas Kazimieras Zavadskas.

Author : Florentin Smarandache,Mohamed Abdel-Basset,Said Broumi
Publisher : Infinite Study
Page : 611 pages
File Size : 42,9 Mb
Release : 2022-04-01
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Sets and Systems, vol. 49/2022 by Florentin Smarandache,Mohamed Abdel-Basset,Said Broumi Pdf

“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. Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. This theory considers every notion or idea together with its opposite or negation and with their spectrum of neutralities in between them (i.e. notions or ideas supporting neither nor ). The and ideas together are referred to as . Neutrosophy is a generalization of Hegel's dialectics (the last one is based on and only). According to this theory every idea tends to be neutralized and balanced by and ideas - as a state of equilibrium. In a classical way , , are disjoint two by two. But, since in many cases the borders between notions are vague, imprecise, Sorites, it is possible that , , (and of course) have common parts two by two, or even all three of them as well. Neutrosophic Set and Neutrosophic Logic are generalizations of the fuzzy set and respectively fuzzy logic (especially of intuitionistic fuzzy set and respectively intuitionistic fuzzy logic).

Author : Florentin Smarandache
Publisher : Infinite Study
Page : 143 pages
File Size : 44,9 Mb
Release : 2017-10-01
Category : Mathematics
ISBN : 8210379456XXX

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Plithogeny, Plithogenic Set, Logic, Probability, and Statistics by Florentin Smarandache Pdf

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 : Florentin Smarandache
Publisher : Infinite Study
Page : 14 pages
File Size : 45,5 Mb
Release : 2024-06-27
Category : Mathematics
ISBN : 8210379456XXX

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Plithogenic Set, an Extension of Crisp, Fuzzy, Intuitionistic Fuzzy, and Neutrosophic Sets - Revisited by Florentin Smarandache Pdf

In this paper, we introduce the plithogenic set (as generalization of crisp, fuzzy, intuitionistic fuzzy, and neutrosophic sets), which is a set whose elements are characterized by many attributes’ values.

Author : Nivetha Martin ,Florentin Smarandache
Publisher : Infinite Study
Page : 13 pages
File Size : 45,7 Mb
Release : 2024-06-27
Category : Mathematics
ISBN : 8210379456XXX

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Plithogenic Cognitive Maps in Decision Making by Nivetha Martin ,Florentin Smarandache Pdf

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 : Shawkat Alkhazaleh
Publisher : Infinite Study
Page : 19 pages
File Size : 44,6 Mb
Release : 2020-03-03
Category : Mathematics
ISBN : 8210379456XXX

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Plithogenic Soft Set by Shawkat Alkhazaleh Pdf

In 1995, Smarandache initiated the theory of neutrosophic set as new mathematical tool for handling problems involving imprecise, indeterminacy, and inconsistent data. Molodtsov initiated the theory of soft set as a new mathematical tool for dealing with uncertainties, which traditional mathematical tools cannot handle. He has showed several applications of this theory for solving many practical problems in economics, engineering, social science, medical science, etc.

Author : S. Gomathy,D. Nagarajan,S. Broumi,M. Lathamaheswari
Publisher : Infinite Study
Page : 17 pages
File Size : 45,6 Mb
Release : 2020-12-01
Category : Mathematics
ISBN : 8210379456XXX

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Plithogenic sets and their application in decision making by S. Gomathy,D. Nagarajan,S. Broumi,M. Lathamaheswari Pdf

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,Mohamed Abdel-Basset
Publisher : Academic Press
Page : 448 pages
File Size : 47,5 Mb
Release : 2020-01-14
Category : Mathematics
ISBN : 9780128199084

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Optimization Theory Based on Neutrosophic and Plithogenic Sets by Florentin Smarandache,Mohamed Abdel-Basset Pdf

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 : Florentin Smarandache
Publisher : Unknown
Page : 110 pages
File Size : 52,8 Mb
Release : 1998
Category : Mathematics
ISBN : STANFORD:36105112484626

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Neutrosophy by Florentin Smarandache Pdf

Author : Florentin Smarandache
Publisher : Infinite Study
Page : 10 pages
File Size : 50,8 Mb
Release : 2010-08-23
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Set - A Generalization of The Intuitionistic Fuzzy Set by Florentin Smarandache Pdf

In this paper one generalizes the intuitionistic fuzzy set (IFS), paraconsistent set, and intuitionistic set to the neutrosophic set (NS). Many examples are presented. Distinctions between NS and IFS are underlined.

Author : Nivetha Martin,Florentin Smarandache
Publisher : Infinite Study
Page : 14 pages
File Size : 48,8 Mb
Release : 2024-06-27
Category : Mathematics
ISBN : 8210379456XXX

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Concentric Plithogenic Hypergraph based on Plithogenic Hypersoft sets – A Novel Outlook by Nivetha Martin,Florentin Smarandache Pdf

This research work lays a platform for presenting the concept of concentric plithogenic hypergraph, a graphical representation of plithogenic hypersoft sets. This paper comprises of the definition, classification of concentric plithogenic hypergraphs, extended hypersoft sets, extended concentric plithogenic hypergraphs and it throws light on its application. Concentric Plithogenic hypergraphs will certainly open the new frontiers of hypergraphs and this will undoubtedly bridge hypersoft sets and hypergraphs.

Author : M. Mathlouthi
Publisher : Springer Science & Business Media
Page : 290 pages
File Size : 50,7 Mb
Release : 2013-12-14
Category : Technology & Engineering
ISBN : 9781461521730

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Food Packaging and Preservation by M. Mathlouthi Pdf

This book is an updating of Food Packaging and Preservation, Theory and Practice published in 1986 by Elsevier Applied Science. Since that date, many things have changed in the world. Hence the name given to the first IFTEC meeting held at the Hague (NL), November 15-18, 1992 Food Technology for a Changing World. Is the world changing for better or worse and what can food technology improve? The keynote lecture of the IFTEC meeting dealt with hunger and the challenge it represents to food science and technology. In the preface to the 1986 book it was suggested that food packaging could solve some of the problems of crop preservation in countries where starvation is prevalent. However, such thoughts did not solve any problems. The famine is still spreading in Africa. The unbalanced north-south situation evoked in the 1986 preface has not improved. The international market of foods and agricultural products is constantly changing and food packaging scientists can only explore new ways to help cope with this. Some of these ideas are approached in this book, particularly in chapters 9, 10 and 12.

Author : W. B. Vasantha Kandasamy,Ilanthenral K,Florentin Smarandache
Publisher : Infinite Study
Page : 296 pages
File Size : 52,6 Mb
Release : 2024-06-27
Category : Mathematics
ISBN : 8210379456XXX

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Plithogenic Graphs by W. B. Vasantha Kandasamy,Ilanthenral K,Florentin Smarandache Pdf

The plithogenic set is a generalization of crisp, fuzzy, intuitionistic fuzzy, and Neutrosophic sets, it is a set whose elements are characterized by many attributes' values. This book gives some possible applications of plithogenic sets defined by Florentin Smarandache (2018). The authors have defined a new class of special type of graphs which can be applied for plithogenic models.