Fuzzy-valued linguistic soft set theory and multi-attribute decision-making application |
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| Affiliation: | 1. School of Management, Jiangsu University, Zhenjiang, China;2. School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan, China;1. School of information engineering, Guangdong Mechanical & Electrical College, Guangzhou 510550, PR China;2. Department of Information Science and Technology, Guangdong University of Foreign Studies South China Business College, Guangzhou 510545, PR China;1. School of Science, East China Jiaotong University, Nanchang , Jiangxi, Postal code 330013, PR China;2. School of Mathematics, South China Normal University, Guangzhou, Guangdong, Postal code 510631, PR China;3. School of Mathematics and Computer Science, Guizhou Normal University, Guiyang, Guizhou, Postal code 550001, PR China;1. School of Computer Science and Engineer, Southeast University, Nanjing 210096, China;2. School of Continuing Education, Southeast University, Nanjing 210096, China;3. School of Computer Engineering, Jiangsu University of Technology, Changzhou, Jiangsu 213001, China;4. School of Information Science and Technology, Yunnan Normal University, Kunming 650500, China;1. Chengdu University of Information Technology, Chengdu 610225, PR China;2. National Key Laboratory of Science and Technology on Communications, University of Electronic Science and Technology of China, Chengdu 610054, PR China;3. Business School of Sichuan University, Chengdu 610065, PR China |
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| Abstract: | In this work, we propose the theory of fuzzy linguistic soft set (FLSS) to represent the uncertainty and multi-angle of view when decision makers evaluate an object during decision-making. FLSS integrates fuzzy set theory, linguistic variable and soft set theory. It allows decision makers to utilize linguistic variables to evaluate an object and utilize fuzzy values to describe the corresponding grade of their support of their decisions. Meanwhile, because of the flexibility of soft set, decision makers can use more than one pair of fuzzy-linguistic evaluations to express their opinions from multiple perspectives directly, if necessary. Therefore, it is more flexible and practical than traditional fuzzy set or 2-dimension uncertainty linguistic variable. We also develop a generalized weighted aggregation operator for FLSSs to solve corresponding decision-making issues. Finally, we give a numerical example to verify the practicality and effectiveness of the proposed method. |
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