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This book introduces applications of mathematics and fuzzy mathematics in decision science, fuzzy geometric programming and fuzzy optimization as well as operations research and management, based on 44 research papers presented at three successful conferences:

(1) The International Conference on Mathematics and Decision Science (ICMDS), September 12–15, 2016, Guangzhou University, Guangzhou, China (www.icodm2020.com).

(2) Academic Conference on 30th Anniversary of Fuzzy Geometric Programming Advanced by Professor Cao Bingyuan and his 40 education years (ACFGPACE), July 30 to August 1, 2016, Guangzhou University, Guangzhou, China.

(3) The third annual meeting of Guangdong Operational Research Society (TAMGORS), October 22–23, 2016, Foshan University, Guangdong, China.

The book is a valuable resource for students, graduates, teachers and other professionals in the field of applied mathematics, artificial intelligence and computers, fuzzy systems and dec

ision-making, as well as operations research and management.

Part I: Mathematics and Fuzziness

Chapter 1 Bipolar Fuzzy BRK-ideals in BRK-algebras

Chapter 2 A New Approach for Solving Fuzzy Supplier Selection Problems Under Volume Discount

Chapter 3 The Lattice of L-fuzzy Filters in a Given R0-algebra

Chapter 4 Intuitionistic Fuzzy Rough Set Based on the Cut Sets of Intuitionistic Fuzzy Set

Chapter 5 Applications and Mathematical Modeling in Operations Research

Chapter 6 Covering Topology Countability Based on a Subbasis

Chapter 7 A New Type of Soft Subincline of Incline

Chapter 8 Bidirectional Quantum Teleportation with 5-Qubit States

Chapter 9 Infinitely Small Quantity and Infinitely Large Quantity of Fuzzy Valued Functions for Linear Generation of Structural Elements

Part II: Decision and Fuzziness

Chapter 10 Hesitant Fuzzy Group Decision Making Under Incomplete Information

Chapter 11 Signed Total Domination and Mycielski Structure in Graphs

Chapter 12 An Arbitrated Quantum Signature Scheme Based on W States

Chapter 13 Optimal Stochastic Dynamic Control of Spatially Distributed Interdependent Production Units

Chapter 14 Analysis for the Presence of Quantum Noise on the Teleportation

Chapter 15 Design of An Active Control Method for Complete Stabilization of Unknown Fractional-Order Non-autonomous Systems

Chapter 16 Three Uncertainty Measures in Neighborhood Systems

Chapter 17 An Approach in Solving Data Envelopment Analysis with Stochastic Data

Chapter 18 Why Do Young People Hate on the Internet?

Part III: Fuzzy Geometric Programming and Optimization

Chapter 19 Properties of Fuzzy Relation Inequalities with Addition-Min Composition

Chapter 20 Geometric Programming with Intuitionistic Fuzzy Coefficient

Chapter 21 A New Method for Solving Fully Fuzzy Monomial Geometric Programming with Trapezoidal Fuzzy Parameters

Chapter 22 Note on Max-Łukasiewicz Bipolar Fuzzy Relation Equation

Chapter 23 Multi-level Linear Programming Subject to Max-product Fuzzy Relation Equalities

Chapter 24 Quadratic Programming with Max-product Fuzzy Relation Inequality Constraints

Chapter 25 A New Algorithm to Shortest Path Problem with Fuzzy Arc Lengths

Chapter 26 Application Research of Improved Classification Recognition Algorithm Based on Causality Analysis

Chapter 27 On Intuitionistic Fuzzy Filters of Filteristic Soft BE-algebras

Part IV: Fuzzy Systems and Operations Research and Management

Chapter 28 Extremal Graphs of Chemical Trees with Minimal Atom-Bond Connectivity Index

Chapter 29 A Soft Approach to Evaluate the Customer Satisfaction in E-retailing

Chapter 30 An M/G/1 Queue with Second Optional Service and General Randomized Vacation Policy

Chapter 31 The Matrix Representation of Fuzzy Error Logic Conjunction and Applied Research

Chapter 32 Variational Iteration Method for Solving an Inverse Parabolic Problem

Chapter 33 Using Coloring Function to Partition Vertices in a Fuzzy Graph

Chapter 34 A New Approach in Geometric Brownian Motion Model

Chapter 35 A Study on Comprehensive Traffic Capacity of Urban Roads

Chapter 36 Solving First Order Fuzzy Initial Value Problem by Fourth Order Runge-Kutta Method Based on Different Means

Part V: Others

Chapter 37 Non-traveling Wave Exact Solutions of (3+1)-Dimensional Yu-Toda-Sasa-Fukuyama Equation

Chapter 38 Research of Solvability and Application of Fuzzy Errors Set Matrix 1 Equation of Type II

Chapter 39 The Relation Between Mathematical Constant and Stock Market Crash

Chapter 40 The Impact of Online Information to the Internet Reservations of Hotels in Guangzhou

Chapter 41 Optimization of the Modified T Vacation Policy for a Discrete-Time Geom[X]/G/1 Queueing System with Startup

Chapter 42 Application of Fuzzy Comprehensive Evaluation Model in Mentality Adaptive Research of College Freshmen

Chapter 43 Assessing Holistic Tourism Resources Based on Fuzzy Evaluation Method: A Case Study of Hainan Tourism Island

Chapter 44 Analysis of Flight Delays