Fuzzy mathematics / / edited by Etienne E. Kerre, John N. Mordeson.

• TeilnehmendeR: Kerre, Etienne E.,; Mordeson, John N.,
• Place / Publishing House: Basel, Switzerland : : MDPI,, [2018]; ©2018
• Year of Publication: 2018
• Language: English
• Physical Description: 1 online resource (x, 274 pages) :; illustrations

This book provides a timely overview of topics in fuzzy mathematics. It lays the foundation for further research and applications in a broad range of areas. It contains break-through analysis on how results from the many variations and extensions of fuzzy set theory can be obtained from known results of traditional fuzzy set theory. The book contains not only theoretical results, but a wide range of applications in areas such as decision analysis, optimal allocation in possibilistics and mixed models, pattern classification, credibility measures, algorithms for modeling uncertain data, and numerical methods for solving fuzzy linear systems. The book offers an excellent reference for advanced undergraduate and graduate students in applied and theoretical fuzzy mathematics. Researchers and referees in fuzzy set theory will find the book to be of extreme value.

Table of Contents

About the Special Issue Editors . vii -- Preface to "Fuzzy Mathematics" . ix -- Erich Peter Klement and Radko Mesiar L-Fuzzy Sets and Isomorphic Lattices: Are All the "New" Results Really New? † Reprinted from: Mathematics 2018, 6, 146, doi: 10.3390/math6090146 1 -- Krassimir Atanassov On the Most Extended Modal Operator of First Type over Interval-Valued Intuitionistic Fuzzy Sets Reprinted from: Mathematics 2018, 6, 123, doi: 10.3390/math6070123 25 -- Young Bae Jun, Seok-Zun Song and Seon Jeong Kim N -Hyper Sets Reprinted from: Mathematics 2018, 6, 87, doi: 10.3390/math6060087 . 35 -- Muhammad Akram and Gulfam Shahzadi Hypergraphs in m-Polar Fuzzy Environment Reprinted from: Mathematics 2018, 6, 28, doi: 10.3390/math6020028 . 47 -- Noor Rehman, Choonkil Park, Syed Inayat Ali Shah and Abbas Ali On Generalized Roughness in LA-Semigroups Reprinted from: Mathematics 2018, 6, 112, doi: 10.3390/math6070112 65 -- Hsien-Chung Wu Fuzzy Semi-Metric Spaces Reprinted from: Mathematics 2018, 6, 106, doi: 10.3390/math6070106 73 -- E. Mohammadzadeh, R. A. Borzooei Nilpotent Fuzzy Subgroups Reprinted from: Mathematics 2018, 6, 27, doi: 10.3390/math6020027 . 92 -- Florentin Smarandache, Mehmet S¸ ahin and Abdullah Kargın Neutrosophic Triplet G-Module Reprinted from: Mathematics 2018, 6, 53, doi: 10.3390/math6040053 . 104 -- Pannawit Khamrot and Manoj Siripitukdet Some Types of Subsemigroups Characterized in Terms of Inequalities of Generalized Bipolar Fuzzy Subsemigroups Reprinted from: Mathematics 2017, 5, 71, doi: 10.3390/math5040071 . 113 -- Seok-Zun Song, Seon Jeong Kim and Young Bae Jun Hyperfuzzy Ideals in BCK/BCI-Algebras † Reprinted from: Mathematics 2017, 5, 81, doi: 10.3390/math5040081 . 127 -- Young Bae Jun, Seok-Zun Song and Seon Jeong Kim Length-Fuzzy Subalgebras in BCK/BCI-Algebras Reprinted from: Mathematics 2018, 6, 11, doi: 10.3390/math6010011 . 141 -- Young Bae Jun, Florentin Smarandache,Seok-Zun Song and Hashem Bordbar Neutrosophic Permeable Values and Energetic Subsets withApplications in BCK/BCI-Algebras Reprinted from: Mathematics 2018, 6, 74, doi: 153 -- Harish Garg and Jaspreet Kaur A Novel (R, S)-Norm Entropy Measure of Intuitionistic Fuzzy Sets and Its Applications in Multi-Attribute Decision-Making Reprinted from: Mathematics 2018, 6, 92, doi: 10.3390/math6060092 . 169 -- Dheeraj Kumar Joshi, Ismat Beg and Sanjay Kumar Hesitant Probabilistic Fuzzy Linguistic Sets with Applications in Multi-Criteria Group Decision Making Problems Reprinted from: Mathematics 2018, 6, 47, doi: 10.3390/math6040047 . 188 -- Irina Georgescu The Effect of Prudence on the Optimal Allocation in Possibilistic and Mixed Models Reprinted from: Mathematics 2018, 6, 133, doi: 10.3390/math6080133 208 -- Rudolf Seising The Emergence of Fuzzy Sets in the Decade of the Perceptron-Lotfi A. Zadeh's and Frank Rosenblatt's Research Work on Pattern Classification Reprinted from: Mathematics 2018, 6, 110, doi: 10.3390/math6070110 227 -- Mohamadtaghi Rahimi, Pranesh Kumar and Gholamhossein Yari Credibility Measure for Intuitionistic Fuzzy Variables Reprinted from: Mathematics 2018, 6, 50, doi: 10.3390/math6040050 . 247 -- Musavarah Sarwar and Muhammad Akram Certain Algorithms for Modeling Uncertain Data Using Fuzzy Tensor Product Be´zierSurfaces Reprinted from: Mathematics 2018, 6, 42, doi: 10.3390/math6030042 . 254 -- Lubna Inearat and Naji Qatanani Numerical Methods for Solving Fuzzy Linear Systems Reprinted from: Mathematics 2018, 6, 19, doi: 10.3390/math6020019 . 266.