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Contents Part I: Mathematics and Fuzziness Bipolar Fuzzy BRK-ideals in BRK-algebras... 3 Khizar Hayat, Xiao-Chu Liu, and Bing-Yuan Cao A New Approach for Solving Fuzzy Supplier Selection Problems Under Volume Discount... 16 S.H. Nasseri and S. Chitgar The Lattice of L-fuzzy Filters in a Given R 0 -algebra... 26 Chun-hui Liu Intuitionistic Fuzzy Rough Set Based on the Cut Sets of Intuitionistic Fuzzy Set.... 37 Le-tao Wu and Xue-hai Yuan Applications and Mathematical Modeling in Operations Research... 46 Peter Lohmander Covering Topology Countability Based on a Subbasis... 54 Yi-chun Huang, Zhi-wen Mo, and Xian-yong Zhang A New Type of Soft Subincline of Incline... 64 Liu-hong Chen, Zu-hua Liao, Zhen-yu Liao, Yong Li, Xiao-ying Zhu, and Wei Song Bidirectional Quantum Teleportation with 5-Qubit States... 74 Jinwei Wang and Jing Jiang Infinitely Small Quantity and Infinitely Large Quantity of Fuzzy Valued Functions for Linear Generation of Structural Elements... 82 Tian-jun Shu and Zhi-wen Mo xi

xii Contents Part II: Decision and Fuzziness Hesitant Fuzzy Group Decision Making Under Incomplete Information... 91 Jin-hui Lv and Si-zong Guo Signed Total Domination and Mycielski Structure in Graphs... 102 Arezoo. N. Ghameshlou and Athena Shaminezhad An Arbitrated Quantum Signature Scheme Based on W States... 107 Yu-ting Jiang and Zhi-wen Mo Optimal Stochastic Dynamic Control of Spatially Distributed Interdependent Production Units... 115 Peter Lohmander Analysis for the Presence of Quantum Noise on the Teleportation... 123 Yun-chao Li, Zhi-wen Mo, and Shu-qin Sun Design of An Active Control Method for Complete Stabilization of Unknown Fractional-Order Non-autonomous Systems... 131 Majid Roohi, Hamidreza Hadian, Mohammad Pourmahmood Aghababa, and Seyedeh Maedeh Mirmohseni Amiri Three Uncertainty Measures in Neighborhood Systems... 143 Yan-hong Zhou, Zhi-wen Mo, and Xian-yong Zhang An Approach in Solving Data Envelopment Analysis with Stochastic Data... 154 Amir Hossein Nafei, Seyed Mohammad Esmaeil Pourmohammad Azizi, and Rajab Ali Ghasempour Why Do Young People Hate on the Internet?.... 163 Marta R. Jablonska and Zdzislaw Polkowski Part III: Fuzzy Geometric Programming and Optimization Properties of Fuzzy Relation Inequalities with Addition-Min Composition.... 177 Bing-Yuan Cao, Xiao-Peng Yang, and Xue-Gang Zhou Geometric Programming with Intuitionistic Fuzzy Coefficient.... 186 Ji-hui Yang, Xue-gang Zhou, and Pei-hua Wang A New Method for Solving Fully Fuzzy Monomial Geometric Programming with Trapezoidal Fuzzy Parameters... 196 Armita Khorsandi, Xiao-Chu Liu, and Bing-Yuan Cao Note on Max-Łukasiewicz Bipolar Fuzzy Relation Equation... 210 Xiao-Peng Yang, Khizar Hayat, Pei-hua Wang, and Xue-Gang Zhou

Contents xiii Multi-level Linear Programming Subject to Max-product Fuzzy Relation Equalities... 220 Ze-jian Qin, Xiao-cou Liu, and Bingyuan Cao Quadratic Programming with Max-product Fuzzy Relation Inequality Constraints... 227 Xue-Gang Zhou, Xiao-Peng Yang, and Pei-Hua Wang A New Algorithm to Shortest Path Problem with Fuzzy Arc Lengths... 244 Armita Khorsandi, Xiao-Chu Liu, and Bing-Yuan Cao Application Research of Improved Classification Recognition Algorithm Based on Causality Analysis.... 250 Yu-bin Zhong, Zi-feng Lyu, and Xiu-ting Kuang On Intuitionistic Fuzzy Filters of Filteristic Soft BE-algebras... 260 Khizar Hayat, Xiao-Chu Liu, and Bing-Yuan Cao Part IV: Fuzzy Systems and Operations Research and Management Extremal Graphs of Chemical Trees with Minimal Atom-Bond Connectivity Index... 269 Fu-yi Wei, Zi-yang Xie, Qu-Wei, Guo-bin Zhang, Wei-peng Ye, and Yan-li Zhu A Soft Approach to Evaluate the Customer Satisfaction in E-retailing... 282 Chuan Yue and Zhongliang Yue An M/G/1 Queue with Second Optional Service and General Randomized Vacation Policy... 297 Yan Chen, Xian-Wei Lin, Cai-Min Wei, and Zhun Fan The Matrix Representation of Fuzzy Error Logic Conjunction and Applied Research.... 308 Guo Qiwei, Zeng Liting, and Du Juan Variational Iteration Method for Solving an Inverse Parabolic Problem.... 321 De-jian Huang and Yan-qing Li Using Coloring Function to Partition Vertices in a Fuzzy Graph... 328 Yan-cai Zhao, Xiao-xuan Liu, and Zu-hua Liao A New Approach in Geometric Brownian Motion Model... 336 Seyed Mohammad Esmaeil Pour Mohammad Azizi and Abdolsadeh Neisy A Study on Comprehensive Traffic Capacity of Urban Roads... 343 Duan Yuan, Zhang Geng, and Yi-cen Mao

xiv Contents Solving First Order Fuzzy Initial Value Problem by Fourth Order Runge-Kutta Method Based on Different Means.... 356 Maryam Asghari Hemmat Abadi and Bing Yuan Cao Part V: Others Non-traveling Wave Exact Solutions of (3+1)-Dimensional Yu-Toda-Sasa-Fukuyama Equation... 373 Najva Aminakbari, Guo-qiang Dang, Yong-yi Gu, and Wen-jun Yuan Research of Solvability and Application of Fuzzy Errors Set Matrix 1 Equation of Type II... 385 Guo Qiwei and Xiaobing Zhang The Relation Between Mathematical Constant and Stock Market Crash... 396 Qing-can Xiao and Xiao-wen Zhou The Impact of Online Information to the Internet Reservations of Hotels in Guangzhou... 404 Li Xiang and Wu Nan Optimization of the Modified T Vacation Policy for a Discrete-Time Geom ½X =G=1 Queueing System with Startup... 414 Xian-Wei Lin, Yan Chen, Cai-Min Wei, and Zhun Fan Application of Fuzzy Comprehensive Evaluation Model in Mentality Adaptive Research of College Freshmen... 425 Yu-bin Zhong, Yue-peng Liu, Ming-shuo Xu, Jia-xi Wu, and Long-zhang Lin Assessing Holistic Tourism Resources Based on Fuzzy Evaluation Method: A Case Study of Hainan Tourism Island... 434 Jing Ma, Gen-nian Sun, and Sheng-quan Ma Analysis of Flight Delays... 447 Zhang Geng and Duan Yuan Author Index.... 457

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