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Fuzzy arithmetic based reliability allocation approach during early design and development
Affiliation:1. Indian Institute of Information Technology Design and Manufacturing, Jabalpur 482011, Madhya Pradesh, India;2. Department of Electrical Engineering, Indian Institute Technology Roorkee, Uttrakhand 247667, India;1. Department of Electronics Engineering, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong Special Administrative Region;2. Department of Computer Science and Technology, Soochow University, Suzhou 215006, China;1. Department of Information Management at Fortune Institute of Technology, Kaohsiung, Taiwan;2. Thecus Technology Corporation, Taiwan;3. Department of Computer Science and Information Engineering, National Cheng Kung University, Tainan, Taiwan;1. Department of Information Systems, City University of Hong Kong and USTC-CityU Joint Advanced Research Center, Suzhou, PR China;2. Department of Electronic Commerce and Information Management, School of Economics & Management, Southwest Jiaotong University, Chengdu, PR China;3. Department of Management School, University of Science and Technology of China and USTC-CityU Joint Advanced Research Center, Suzhou, PR China;4. Department of Information Systems, Faculty of Business, City University of Hong Kong, Kowloon, Hong Kong
Abstract:During early design and development stages, every engineering system has to meet its specific reliability goals. The target reliability of the system is achieved through application of an effective reliability apportionment technique to its subsystems. There are various traditional methods exist to perform the reliability allocation based on engineering factors that are assessed in a subjective manner. The conventional reliability allocation approach requires the assessment of factors like complexity, cost, and maintenance. This may not be realistic in real applications if they are assessed in a crisp manner by the domain experts of their varied expertise and background.In this paper, we treat allocation factors as fuzzy numbers, which are evaluated in fuzzy linguistic terms. As a result, fuzzy proportionality factor scales are proposed for the subsystems. In order to accomplish fuzzy division to evaluate the fuzzy proportionality factor, an approximation method based on linear programming for trapezoidal fuzzy numbers is also proposed in this paper. For the evaluation of weighting factors from fuzzy proportionality factors, centroid method of defuzzification is being employed. The allocated reliability of each subsystem is computed with the help of weighting factor thereafter. An example is provided to illustrate the potential application of the proposed fuzzy based reliability allocation approach.
Keywords:Reliability allocation  Reliability allocation factors  Fuzzy logic  Proportionality factor
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