Applying weakest t-norm based approximate intuitionistic fuzzy arithmetic operations on different types of intuitionistic fuzzy numbers to evaluate reliability of PCBA fault |
| |
| Affiliation: | 1. V R Siddhartha Engineering College, Vijayawada 520007, A.P., India;2. Andhra University, Visakhapatnam 530003, A.P., India;1. Department of Mathematics, Key Laboratory of Tibetan Information Processing of Ministry of Education, Qinghai Normal University, Xining 810008, China;2. Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China;1. Department of Electrical, Electronic and Systems Engineering, University Kebangsaan, Malaysia;2. Department of Engineering, Kerman Branch, Islamic Azad University, Kerman, Iran;1. Department of Electrical Engineering, COMSATS Institute of IT, Wah Campus, Wah, Pakistan;2. Department of Electrical and Computer Engineering, Ryerson University, 350 Victoria Street, Toronto, Canada;3. School of Engineering Science at Simon Fraser University, Burnaby, BC V5A 1S6, Canada;1. IPC/I3N – Institute for Polymer and Composites, University of Minho, Guimarães, Portugal;2. IRIDIA, Université Libre de Bruxelles (ULB), CP 194/6, Av. F. Roosevelt 50, B-1050 Brussels, Belgium;1. Area of Automation and Control, Instituto Federal de Minas Gerais, IFMG, Ouro Preto, Brazil;2. Department of Electrical Engineering, Universidade Federal de Minas Gerais, UFMG, Belo Horizonte, Brazil;3. Electrical and Computer Engineering Department, McGill University, Montreal, Canada;4. Federal Technological University of Paraná, UTFPR, Cornélio Procópio, Brazil;5. São Carlos School of Engineering, University of São Paulo, São Carlos, Brazil;6. Institute of Mathematical and Computing Sciences, University of São Paulo, São Carlos, Brazil |
| |
| Abstract: | This research addresses system reliability analysis using weakest t-norm based approximate intuitionistic fuzzy arithmetic operations, where failure probabilities of all components are represented by different types of intuitionistic fuzzy numbers. Due to the incomplete, imprecise, vague and conflicting information about the component of system, the present study evaluates the reliability of system in terms of membership function and non-membership function by using weakest t-norm (Tw) based approximate intuitionistic fuzzy arithmetic operations on different types of intuitionistic fuzzy numbers. In general, interval arithmetic (α-cut arithmetic) operations have been used to analyze the fuzzy system reliability. In complicated systems, interval arithmetic operations may occur the accumulating phenomenon of fuzziness. In order to overcome the accumulating phenomenon of fuzziness, this research adopts approximate intuitionistic fuzzy arithmetic operations under the weakest t-norm arithmetic operations (Tw) to analyze fuzzy system reliability. The approximate intuitionistic fuzzy arithmetic operations employ principle of interval arithmetic under the weakest t-norm arithmetic operations. The proposed novel fuzzy arithmetic operations may obtain fitter decision values, which have smaller fuzziness accumulating and successfully analyze the system reliability. Also weakest t-norm arithmetic operations provide more exact fuzzy results and effectively reduce fuzzy spreads (fuzzy intervals). Using proposed approach, fuzzy reliability of series system and parallel system are also constructed. For numerical verification of proposed approach, a malfunction of printed circuit board assembly (PCBA) is presented as a numerical example. The result of the proposed method is compared with the listing approaches of reliability analysis methods. |
| |
| Keywords: | Fuzzy system reliability Intuitionistic fuzzy number |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
