Practical Applications Of Indetermsoft Set And Indetermhypersoft Set And Introduction To Treesoft Set As An Extension Of The Multisoft Set PDF Download

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Practical Applications of IndetermSoft Set and IndetermHyperSoft Set and Introduction to TreeSoft Set as an extension of the MultiSoft Set

Practical Applications of IndetermSoft Set and IndetermHyperSoft Set and Introduction to TreeSoft Set as an extension of the MultiSoft Set
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 9
Release: 2022-11-01
Genre: Mathematics
ISBN:

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The IndetermSoft Set is as an extension of the Soft Set, because the data, or the function, or the sets involved in the definition of the soft set have indeterminacy - as in our everyday life, and we still need to deal with such situations. And similarly, IndetermHyperSoft Set as extension of the HyperSoft Set, when there is indeterminate data, or indeterminate functions, or indeterminate sets. Herein, ‘Indeterm’ stands for ‘Indeterminate’ (uncertain, conflicting, incomplete, not unique outcome). We now introduce for the first time the TreeSoft Set as extension of the MultiSoft Set. Several applications are presented for each type of soft set.


Introduction to the IndetermSoft Set and IndetermHyperSoft Set

Introduction to the IndetermSoft Set and IndetermHyperSoft Set
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 22
Release: 2022-10-01
Genre: Mathematics
ISBN:

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In this paper one introduces for the first time the IndetermSoft Set, as extension of the classical (determinate) Soft Set, that deals with indeterminate data, and similarly the HyperSoft Set extended to IndetermHyperSoft Set, where ‘Indeterm’ stands for ‘Indeterminate’ (uncertain, conflicting, not unique outcome). They are built on an IndetermSoft Algebra that is an algebra dealing with IndetermSoft Operators resulted from our real world. Afterwards, the corresponding Fuzzy / Intuitionistic Fuzzy / Neutrosophic / and other fuzzy-extension IndetermSoft Set & IndetermHyperSoft Set are presented together with their applications.


Neutrosophic Sets and Systems, vol. 51/2022

Neutrosophic Sets and Systems, vol. 51/2022
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 970
Release: 2022-09-01
Genre: Mathematics
ISBN:

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“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).


Neutrosophy

Neutrosophy
Author: Florentin Smarandache
Publisher:
Total Pages: 110
Release: 1998
Genre: Mathematics
ISBN:

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Neutrosophic Sets and Systems, vol. 19/2018

Neutrosophic Sets and Systems, vol. 19/2018
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 143
Release:
Genre: Mathematics
ISBN:

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“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.


Neutrosophic Set - A Generalization of The Intuitionistic Fuzzy Set

Neutrosophic Set - A Generalization of The Intuitionistic Fuzzy Set
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 10
Release: 2010-08-23
Genre: Mathematics
ISBN:

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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.


Neutrosophic Sets: An Overview

Neutrosophic Sets: An Overview
Author: Said Broumi
Publisher: Infinite Study
Total Pages: 32
Release:
Genre:
ISBN:

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In this study, we give some concepts concerning the neutrosophic sets, single valued neutrosophic sets, interval-valued neutrosophic sets, bipolar neutrosophic sets, neutrosophic hesitant fuzzy sets, inter-valued neutrosophic hesitant fuzzy sets, refined neutrosophic sets, bipolar neutrosophic refined sets, multi-valued neutrosophic sets, simplified neutrosophic linguistic sets, neutrosophic over/off/under sets, rough neutrosophic sets, rough bipolar neutrosophic sets, rough neutrosophic hyper-complex set, and their basic operations.


Computer Architecture: A Minimalist Perspective

Computer Architecture: A Minimalist Perspective
Author: William F. Gilreath
Publisher: Springer Science & Business Media
Total Pages: 225
Release: 2012-12-06
Genre: Computers
ISBN: 1461502373

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This book examines computer architecture, computability theory, and the history of computers from the perspective of minimalist computing - a framework in which the instruction set consists of a single instruction. This approach is different than that taken in any other computer architecture text, and it is a bold step. The audience for this book is researchers, computer hardware engineers, software engineers, and systems engineers who are looking for a fresh, unique perspective on computer architecture. Upper division undergraduate students and early graduate students studying computer architecture, computer organization, or embedded systems will also find this book useful. A typical course title might be "Special Topics in Computer Architecture." The organization ofthe book is as follows. First, the reasons for studying such an "esoteric" subject are given. Then, the history and evolution of instruction sets is studied with an emphasis on how modern computing has features ofone instruction computing. Also, previous computer systems are reviewed to show how their features relate to one instruction computers. Next, the primary forms of one instruction set computing are examined. The theories of computation and of Turing machines are also reviewed to examine the theoretical nature of one instruction computers. Other processor architectures and instruction sets are then mapped into single instructions to illustrate the features of both types of one instruction computers. In doing so, the features of the processor being mapped are highlighted.


Infinity Put to the Test

Infinity Put to the Test
Author: Antonio León
Publisher: Independently Published
Total Pages: 408
Release: 2021-02-15
Genre:
ISBN:

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From different areas of mathematics, such as set theory, geometry, transfinite arithmetic or supertask theory, in this book more than forty arguments are developed about the inconsistency of the hypothesis of the actual infinity in contemporary mathematics. A hypothesis according to which the uncompletable lists, as the list of the natural numbers, exist as completed lists. The inconsistency of this hypothesis would have an enormous impact on physics, forcing us to change the continuum space-time for a discrete model, with indivisible units (atoms) of space and time. The discrete model would be a great simplification of physical theories, including relativity and quantum mechanics. It would also suppose the solution of the old problem of change, posed by the pre-Socratics philosophers twenty-seven centuries ago.