Fuzzy Information and Engineering and Decision

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.

Table of Contents

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