Interval Neutrosophic Sets and Logic: Theory and Applications in Computing

Interval Neutrosophic Sets and Logic: Theory and Applications in Computing PDF

Author: Haibin Wang

Publisher: Infinite Study

Published: 2005

Total Pages: 99

ISBN-13: 1931233942

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This book presents the advancements and applications of neutrosophics, which are generalizations of fuzzy logic, fuzzy set, and imprecise probability. The neutrosophic logic, neutrosophic set, neutrosophic probability, and neutrosophic statistics are increasingly used in engineering applications (especially for software and information fusion), medicine, military, cybernetics, physics.In the last chapter a soft semantic Web Services agent framework is proposed to facilitate the registration and discovery of high quality semantic Web Services agent. The intelligent inference engine module of soft semantic Web Services agent is implemented using interval neutrosophic logic.

Arithmetic Operations of Neutrosophic Sets, Interval Neutrosophic Sets and Rough Neutrosophic Sets

Arithmetic Operations of Neutrosophic Sets, Interval Neutrosophic Sets and Rough Neutrosophic Sets PDF

Author: Florentin Smarandache

Publisher: Infinite Study

Published:

Total Pages: 18

ISBN-13:

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In approximation theory, neutrosophic set and logic show an important role. They are generalizations of intuitionistic fuzzy set and logic respectively. Based on neutrosophy, which is a new branch of philosophy, every idea X, has an opposite denoted as anti (X) and their neutral which is denoted as neut (X). These are the main features of neutrosophic set and logic. This chapter is based on the basic concepts of neutrosophic set as well as some of their hybrid structures. In this chapter, we define and study the notion of neutrosophic set and their basic properties. Moreover, interval-valued neutrosophic set are studied with some of their properties. Finally, we define rough neutrosophic sets.

Neutrosophic Sets and Systems, book series, Vol. 11, 2016

Neutrosophic Sets and Systems, book series, Vol. 11, 2016 PDF

Author: Florentin Smarandache

Publisher: Infinite Study

Published:

Total Pages:

ISBN-13: 1599734672

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This volume is a collection of fourteen papers, written by different authors and co-authors (listed in the order of the papers): N. Radwan, M. Badr Senousy, A. E. D. M. Riad, Chunfang Liu, YueSheng Luo, J. M. Jency, I. Arockiarani, P. P. Dey, S. Pramanik, B. C. Giri, N. Shah, A. Hussain, Gaurav, M. Kumar, K. Bhutani S. Aggarwal, V. Pătraşcu, F. Yuhua, S. Broumi, A. Bakali, M. Talea, F. Smarandache, M. Khan, S. Afzal, H. E. Khalid, M. A. Baset ,I. M. Hezam. In first paper, the authors studied Neutrosophic Logic Approach for Evaluating Learning Management Systems. A new method to construct entropy of interval-valued Neutrosophic Set is discussed in the second paper. Adjustable and Mean Potentiality Approach on Decision Making is studied in third paper. In fourth paper, An extended grey relational analysis based multiple attribute decision making are interval neutrosophic uncertain linguistic setting . Similarly in fifth paper, Neutrosophic Soft Graphs is discussed. In paper six, Mapping Causes and Implications of India’s Skewed Sex Ratio and Poverty problem using Fuzzy & Neutrosophic Relational Maps is studied by the author. Refined Neutrosophic Information Based on Truth, Falsity, Ignorance, Contradiction and Hesitation is proposed in the next paper. Point Solution, Line Solution, Plane Solution etc —Expanding Concepts of Equation and Solution with Neutrosophy and Quadstage Method the next paper. Further, Isolated Single Valued Neutrosophic Graphs are discussed by the authors in the tenth paper. In eleventh paper, Neutrosophic Set Approach for Characterizations of Left Almost Semigroups have been studied by the author. In the next paper, Degree of Dependence and Independence of the (Sub)Components of Fuzzy Set and Neutrosophic Set. In thirteenth paper, Neutrosophic Soft Multi Attribute Decision Making Based on Grey Relational Projection Method is introduced by the authors. In fourteenth paper, the author studied The Novel Attempt for Finding Minimum Solution in Fuzzy Neutrosophic Relational Geometric Programming (FNRGP) with (max,min) Composition. In the last paper, Neutrosophic Goal Programming is developed.

Neutrosophic Sets and Systems, vol. 8/2015

Neutrosophic Sets and Systems, vol. 8/2015 PDF

Author: L. Kong

Publisher: Infinite Study

Published:

Total Pages: 70

ISBN-13:

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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 Sets and Systems: An International Book Series in Information Science and Engineering, vol. 18 / 2017

Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 18 / 2017 PDF

Author: Florentin Smarandache

Publisher: Infinite Study

Published:

Total Pages: 90

ISBN-13: 1599735512

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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 Sets and Systems, book series, Vol. 9, 2015

Neutrosophic Sets and Systems, book series, Vol. 9, 2015 PDF

Author: Florentin Smarandache

Publisher: Infinite Study

Published:

Total Pages:

ISBN-13: 1599733544

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Abstract: This volume is a collection of fourteen papers, written by different authors and co-authors (listed in the order of the papers): F. Yuhua, K. Mandal, K. Basu, S. Pramanik, K. Mondal, S. Alkhazaleh, J. Nescolarde-Selva, J. L. Usó-Doménech, A. Betancourt-Vázquez, K. Pérez-Teruel, M. Leyva-Vázquez, A. Aydoğdu, I. Arockiarani, C. A. C. Sweety, F. Smarandache, L. Zhengda, S. Kar, S. Mukherjee, P. Das, and T. K. Kumar. In first paper, the author studied Interpreting and Expanding Confucius' Golden Mean through Neutrosophic Tetrad. Hypercomplex Neutrosophic Similarity Measure & Its Application In Multicriteria Decision Making Problem is discussed in the second paper. Interval Neutrosophic Multi-Attribute Decision-Making Based on Grey Relational Analysis are studied in third paper. In fourth paper, More on Neutrosophic Norms and Conorms. Similarly in fifth paper, Ideological systems and its validation: a neutrosophic approach is discussed. In paper six, Modeling and analyzing non-functional requirements interdependencies with neutrosophic logic is studied by the author. On Entropy and Similarity Measure Interval Valued Neutrosophic Sets given in seventh paper. Topological structures of fuzzy neutrosophic rough sets are proposed in the next paper. Refined Literal Indeterminacy and the Multiplication Law of Sub-Indeterminacies in the next paper. Further, Neutrosophic Decision Making Model for Clay-Brick Selection in Construction Field Based on Grey Relational Analysis is discussed by the authors in the tenth paper. In eleventh paper, Neutrosophy-based Interpretation of Four Mechanical Worldviews have been studied by the author. In the next paper, Application of Neutrosophic Set Theory in Generalized Assignment Problem is studied. In thirteenth paper, Tangent Similarity Measure and its application to multiple attribute decision making is discussed. At the end, Multiobjective non-linear programming problem based on Neutrosophic Optimization Technique and its application in Riser Design Problem are introduced by the authors. Keywords: neutrosophy, neutrosophic set theory, Confucius' golden mean, neutrosophic tetrad, similarity measure interval valued neutrosophic sets, neutrosophic decision making model, neutrosophic optimization technique.

Neutrosophic Sets and Systems, Book Series, Vol. 32, 2020. An International Book Series in Information Science and Engineering

Neutrosophic Sets and Systems, Book Series, Vol. 32, 2020. An International Book Series in Information Science and Engineering PDF

Author: Florentin Smarandache

Publisher: Infinite Study

Published:

Total Pages: 452

ISBN-13:

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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 Sets and Systems, Vol. I

Neutrosophic Sets and Systems, Vol. I PDF

Author: Florentin Smarandache

Publisher: Infinite Study

Published:

Total Pages:

ISBN-13: 1599733102

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This volume is a collection of ten papers, written by different authors and co-authors (listed in the order of the papers): F. Smarandache, Jun Ye, M. Shabir, M. Ali, M. Naz, F. Yuhua, A. A. Salama, S. Vladutescu, Y. Guo, A. Sengur, S. Broumi, P. Chi, and P. Liu. In first paper, the author proposed Neutrosophic Measure and neutrosophic Integral. Another Form of Correlation Coefficient between Single Valued Neutrosophic Sets and Multiple Attribute Decision-Making Method is proposed in the second paper. Soft Neutrosophic Group is studied in third paper. In fourth paper Neutrosophic Example in Physics is discussed. Similarly in fifth paper Filters via Neutrosophic Crisp Sets are discussed. In paper six, Commnication vs. Information, an Axiomatic Neutrosophic Solution is presented by the authors. A Novel Image Segmentation Algorithm Based on Neutrosophic Filtering and Level Set is given in seventh paper. Paper eight is about to Neutrosophic Crisp Points and Neutrosophic Crisp Ideals. In the next paper Several Similarity Measures of Neutrosophic Sets are discussed. The authors introduced An Extended TOPSIS Method for the Multiple Attribute Decision Making Problems Based on Interval Neutrosophic Sets in the last paper.

Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 24 / 2018

Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 24 / 2018 PDF

Author: Florentin Smarandache

Publisher: Infinite Study

Published:

Total Pages: 154

ISBN-13: 1599735989

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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.