Neutrosophic Precalculus And Neutrosophic Calculus

Author : Florentin Smarandache
Publisher : Infinite Study
Page : 154 pages
File Size : 48,5 Mb
Release : 2015-06-15
Category : Electronic
ISBN : 9781599733524

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Neutrosophic Precalculus and Neutrosophic Calculus by Florentin Smarandache Pdf

Neutrosophic Analysis is a generalization of Set Analysis, which in its turn is a generalization of Interval Analysis. Neutrosophic Precalculus is referred to indeterminate staticity, while Neutrosophic Calculus is the mathematics of indeterminate change. The Neutrosophic Precalculus and Neutrosophic Calculus can be developed in many ways, depending on the types of indeterminacy one has and on the methods used to deal with such indeterminacy. In this book, the author presents a few examples of indeterminacies and several methods to deal with these specific indeterminacies, but many other indeterminacies there exist in our everyday life, and they have to be studied and resolved using similar of different methods. Therefore, more research should to be done in the field of neutrosophics. The author introduces for the first time the notions of neutrosophic mereo-limit, neutrosophic mereo-continuity (in a different way from the classical semi-continuity), neutrosophic mereo-derivative and neutrosophic mereo-integral (both in different ways from the fractional calculus), besides the classical definitions of limit, continuity, derivative, and integral respectively. Future research may be done in the neutrosophic fractional calculus. It means that in neutrosophic calculus there are limits, continuity, derivatives, and integrals that are not complete, i.e. there are neutrosophic functions that at a given point may have a degree of a limit (not 100%) called mereo-limit, or may be continuous in a certain degree (not 100%) called mereo-continuity, or may be differentiable or integrable in a certain degree (not 100%) called mereo-derivatives and respectively mereo-integrals. These occur because of indeterminacies...

Author : Florentin Smarandache
Publisher : Unknown
Page : 128 pages
File Size : 55,7 Mb
Release : 2018
Category : Calculus
ISBN : 1599735555

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Neutrosophic Precalculus and Neutrosophic Calculus by Florentin Smarandache Pdf

Author : Huda E. Khalid ,Florentin Smarandache, Ahmed K. Essa
Publisher : Infinite Study
Page : 5 pages
File Size : 51,8 Mb
Release : 2024-06-03
Category : Electronic
ISBN : 8210379456XXX

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A Neutrosophic Binomial Factorial Theorem with their Refrains by Huda E. Khalid ,Florentin Smarandache, Ahmed K. Essa Pdf

The Neutrosophic Precalculus and the Neutrosophic Calculus can be developed in many ways, depending on the types of indeterminacy one has and on the method used to deal with such indeterminacy. This article is innovative since the form of neutrosophic binomial factorial theorem was constructed in addition to its refrains.

Author : Florentin Smarandache
Publisher : Infinite Study
Page : 232 pages
File Size : 40,5 Mb
Release : 2016-11-12
Category : Mathematics
ISBN : 9781599734682

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The Encyclopedia of Neutrosophic Researchers, Vol. I by Florentin Smarandache Pdf

This is the first volume of the Encyclopedia of Neutrosophic Researchers, edited from materials offered by the authors who responded to the editor’s invitation. The 78 authors are listed alphabetically. The introduction contains a short history of neutrosophics, together with links to the main papers and books. Neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics, neutrosophic measure, neutrosophic precalculus, neutrosophic calculus and so on are gaining significant attention in solving many real life problems that involve uncertainty, impreciseness, vagueness, incompleteness, inconsistent, and indeterminacy. In the past years the fields of neutrosophics have been extended and applied in various fields, such as: artificial intelligence, data mining, soft computing, decision making in incomplete / indeterminate / inconsistent information systems, image processing, computational modelling, robotics, medical diagnosis, biomedical engineering, investment problems, economic forecasting, social science, humanistic and practical achievements.

Author : Florentin Smarandache,Maissam Ahmad Jdid
Publisher : Infinite Study
Page : 366 pages
File Size : 41,8 Mb
Release : 2023-08-10
Category : Technology & Engineering
ISBN : 8210379456XXX

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Research on the topics of neutrosophic operations research by Florentin Smarandache,Maissam Ahmad Jdid Pdf

In this volume, we present a set of research that was published in cooperation with a number of researchers and those interested in keeping pace with the great scientific development that our contemporary world is witnessing, and one of its products was neutrosophic science, which was founded by the American scientist and mathematical philosopher Florentin Smarandache in 1995. Through it, we present a new vision for some research methods. Operations research to the concepts of this science.

Author : A. Rezaei,T. Oner,T. Katican,F. Smarandache,N. Gandotra
Publisher : Infinite Study
Page : 19 pages
File Size : 53,6 Mb
Release : 2022-01-01
Category : Mathematics
ISBN : 8210379456XXX

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A short history of fuzzy, intuitionistic fuzzy, neutrosophic and plithogenic sets by A. Rezaei,T. Oner,T. Katican,F. Smarandache,N. Gandotra Pdf

Recently, research on uncertainty modeling is progressing rapidly and many essential and breakthrough stud ies have already been done. There are various ways such as fuzzy, intuitionistic and neutrosophic sets to handle these uncertainties. Although these concepts can handle incomplete information in various real-world issues, they cannot address all types of uncertainty such as indeterminate and inconsistent information. Also, plithogenic sets as a generalization of crisp, fuzzy, intuitionistic fuzzy, and neutrosophic sets, which is a set whose elements are characterized by many attributes’ values. In this paper, our aim is to demonstrate and review the history of fuzzy, intuitionistic and neutrosophic sets. For this purpose, we divided the paper as: section 1. History of Fuzzy Sets, section 2. History of Intuitionistic Fuzzy Sets and section 3. History of Neutrosophic Theories and Applications, section 4. History of Plithogenic Sets.

Author : Florentin Smarandache ,Mumtaz Ali
Publisher : Infinite Study
Page : 99 pages
File Size : 42,9 Mb
Release : 2024-06-03
Category : Electronic
ISBN : 8210379456XXX

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Neutrosophic Sets and Systems, vol. 14/2016 by Florentin Smarandache ,Mumtaz Ali 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.

Author : Florentin Smarandache
Publisher : MDPI
Page : 714 pages
File Size : 48,6 Mb
Release : 2019-11-27
Category : Technology & Engineering
ISBN : 9783039219384

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New types of Neutrosophic Set/Logic/Probability, Neutrosophic Over-/Under-/Off-Set, Neutrosophic Refined Set, and their Extension to Plithogenic Set/Logic/Probability, with Applications by Florentin Smarandache Pdf

This book contains 37 papers by 73 renowned experts from 13 countries around the world, on following topics: neutrosophic set; neutrosophic rings; neutrosophic quadruple rings; idempotents; neutrosophic extended triplet group; hypergroup; semihypergroup; neutrosophic extended triplet group; neutrosophic extended triplet semihypergroup and hypergroup; neutrosophic offset; uninorm; neutrosophic offuninorm and offnorm; neutrosophic offconorm; implicator; prospector; n-person cooperative game; ordinary single-valued neutrosophic (co)topology; ordinary single-valued neutrosophic subspace; α-level; ordinary single-valued neutrosophic neighborhood system; ordinary single-valued neutrosophic base and subbase; fuzzy numbers; neutrosophic numbers; neutrosophic symmetric scenarios; performance indicators; financial assets; neutrosophic extended triplet group; neutrosophic quadruple numbers; refined neutrosophic numbers; refined neutrosophic quadruple numbers; multigranulation neutrosophic rough set; nondual; two universes; multiattribute group decision making; nonstandard analysis; extended nonstandard analysis; monad; binad; left monad closed to the right; right monad closed to the left; pierced binad; unpierced binad; nonstandard neutrosophic mobinad set; neutrosophic topology; nonstandard neutrosophic topology; visual tracking; neutrosophic weight; objectness; weighted multiple instance learning; neutrosophic triangular norms; residuated lattices; representable neutrosophic t-norms; De Morgan neutrosophic triples; neutrosophic residual implications; infinitely ∨-distributive; probabilistic neutrosophic hesitant fuzzy set; decision-making; Choquet integral; e-marketing; Internet of Things; neutrosophic set; multicriteria decision making techniques; uncertainty modeling; neutrosophic goal programming approach; shale gas water management system.

Author : Florentin Smarandache,Mumtaz Ali
Publisher : Infinite Study
Page : 128 pages
File Size : 51,8 Mb
Release : 2024-06-03
Category : Electronic
ISBN : 9781599735146

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Neutrosophic Sets and Systems, book series, Vol. 14, 2016 by Florentin Smarandache,Mumtaz Ali Pdf

Abstract: Contributors to current issue (listed in papers' order): Dragisa Stanujkic, Florentin Smarandache, Edmundas Kazimieras Zavadskas, Darjan Karabasevic, Huda E. Khalid, Ahmed K. Essa, Kul Hur, Pyung Ki Lim, Jeong Gon Lee, Junhui Kim, Harish Garg, Salah Bouzina, Rajashi Chatterjee, Pinaki Majumdar, Syamal Kumar Samanta, W.B. Vasantha Kandasamy, K. Ilanthenral, Rakib Iqbal, Sohail Zafar, Muhammad Shoaib Sardar, Pablo José Menéndez Vera, Cristhian Fabián Menéndez Delgado, Susana Paola Carrillo Vera, Milton Villegas Alava, Miriam Peña Gónzales, Nguyen Xuan Thao, Naga Raju I, Rajeswara Reddy P, Dr. Diwakar Reddy V, Dr. Krishnaiah G, Bui Cong Cuong, Wenzhong Jiang, Jun Ye. Papers in current issue (listed in papers' order): Multiple Criteria Evaluation Model Based on the Single Valued Neutrosophic Set; A Neutrosophic Binomial Factorial Theorem with their Refrains; The category of neutrosophic sets, On Single-Valued Neutrosophic Entropy of order α; Fuzzy Logic vs Neutrosophic Logic: Operations Logic; Interval-valued Possibility Quadripartitioned Single Valued Neutrosophic Soft Sets and some uncertainty based measures on them; Modified Collatz conjecture or (3a + 1) + (3b + 1)I Conjecture for Neutrosophic Numbers; Neutrosophic Cubic Subalgebras and Neutrosophic Cubic Closed Ideals of B-algebras; Static analysis in neutrosophic cognitive maps; (I,T)-Standard neutrosophic rough set and its topologies; Real Life Decision Optimization Model; Rough Standard Neutrosophic Sets: An Application on Standard Neutrosophic Information Systems; Optimal Design of Truss Structures Using a Neutrosophic Number Optimization Model under an Indeterminate Environment. Keywords: neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics, neutrosophic measure, neutrosophic applications.

Author : Broumi, Said
Publisher : IGI Global
Page : 386 pages
File Size : 47,5 Mb
Release : 2023-06-09
Category : Mathematics
ISBN : 9781668478370

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Handbook of Research on the Applications of Neutrosophic Sets Theory and Their Extensions in Education by Broumi, Said Pdf

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.

Author : Florentin Smarandache
Publisher : Infinite Study
Page : 111 pages
File Size : 42,5 Mb
Release : 2024-06-03
Category : Mathematics
ISBN : 8210379456XXX

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The Encyclopedia of Neutrosophic Researchers, 2nd volume by Florentin Smarandache Pdf

This is the second volume of the Encyclopedia of Neutrosophic Researchers, edited from materials offered by the authors who responded to my invitation. The introduction contains a short history of neutrosophics, together with links to the main papers and books.

Author : Florentin Smarandache
Publisher : Infinite Study
Page : 144 pages
File Size : 53,8 Mb
Release : 2024-06-03
Category : Mathematics
ISBN : 8210379456XXX

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The Encyclopedia of Neutrosophic Researchers, 3rd volume by Florentin Smarandache Pdf

This is the third volume of the Encyclopedia of Neutrosophic Researchers, edited from materials offered by the authors who responded to the editor’s invitation. The authors are listed alphabetically. The introduction contains a short history of neutrosophics, together with links to the main papers and books.

Author : Florentin Smarandache,Mohamed Abdel-Basset,Said Broumi
Publisher : Infinite Study
Page : 674 pages
File Size : 40,9 Mb
Release : 2022-06-01
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Sets and Systems, vol. 50/2022 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,Huda E. Khalid,Ahmed K. Essa
Publisher : Infinite Study
Page : 124 pages
File Size : 50,9 Mb
Release : 2024-06-03
Category : Electronic
ISBN : 8210379456XXX

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Neutrosophic Logic: The Revolutionary Logic in Science and Philosophy by Florentin Smarandache,Huda E. Khalid,Ahmed K. Essa Pdf

The first part of this book is an introduction to the activities of the National Symposium, as well as a presentation of Neutrosophic Scientific International Association (NSIA), based in New Mexico, USA, also explaining the role and scope of NSIA - Iraqi branch. The NSIA Iraqi branch presents a suggestion for the international instructions in attempting to organize NSIA's work.

Author : W. B. Vasantha Kandasamy,Ilanthenral K.,Florentin Smarandache
Publisher : Infinite Study
Page : 128 pages
File Size : 55,7 Mb
Release : 2024-06-03
Category : Electronic
ISBN : 9781599734637

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MOD Relational Maps Models and MOD Natural Neutrosophic Relational Maps Models by W. B. Vasantha Kandasamy,Ilanthenral K.,Florentin Smarandache Pdf

In this book the authors for the first time construct MOD Relational Maps model analogous to Fuzzy Relational Maps (FRMs) model or Neutrosophic Relational Maps (NRMs) model using the MOD rectangular or relational matrix. The advantage of using these models is that the MOD fixed point pair or MOD limit cycle pair is obtained after a finite number of iterations.