Fuzzy Synthetic Evaluation Model for Smart Washing Machine  

作　　者：Samsun Nahar Marin Akter Khadiza Begum Mahede Ul Hassan Md. Abdul Alim Samsun Nahar;Marin Akter;Khadiza Begum;Mahede Ul Hassan;Md. Abdul Alim(Department of Basic Sciences and Humanities, University of Asia Pacific, Dhaka, Bangladesh;General Education Department, City University, Dhaka, Bangladesh;Computer Science and Engineering Department, Prime University, Dhaka, Bangladesh;Department of Mathematics and Statistics, Bangladesh University of Business and Technology, Dhaka, Bangladesh;Department of Mathematics, Bangladesh University of Engineering and Technology, Dhaka, Bangladesh)

机构地区：[1]Department of Basic Sciences and Humanities, University of Asia Pacific, Dhaka, Bangladesh [2]General Education Department, City University, Dhaka, Bangladesh [3]Computer Science and Engineering Department, Prime University, Dhaka, Bangladesh [4]Department of Mathematics and Statistics, Bangladesh University of Business and Technology, Dhaka, Bangladesh [5]Department of Mathematics, Bangladesh University of Engineering and Technology, Dhaka, Bangladesh

出　　处：《American Journal of Operations Research》2023年第4期93-109,共17页美国运筹学期刊（英文）

摘　　要：Generally fuzzy control system (FCS) is worked in washing machine. For the fuzzy set theory, membership functions are the building blocks. In a fuzzy set, fuzziness is determined by its membership functions. The shapes of membership functions are important, because it has an effect on fuzzy inference system. The shapes of membership functions can be triangular, trapezoidal and gaussian. The most widely used triangular membership function is used in this paper, because it can capture the short time period. In washing machine, open loop control system is found. This paper applies a fuzzy synthetic evaluation method (FSEM) for washing cloth in washing machine as FSEM can handle the multiple criteria with the help of evaluation matrix generated from membership function and weight matrix generated by Analytical Hierarchy Process (AHP). The purpose of this research is to minimize the wash time. By applying FSEM, we get a wash time which is less than that wash time got from applying the Mamdani approach in FCS. An example is given for illustration. For more reduction of wash time, statistical averaging method is also used. To reduce the wash time, statistical averaging method can be used in Mamdani approach also.Generally fuzzy control system (FCS) is worked in washing machine. For the fuzzy set theory, membership functions are the building blocks. In a fuzzy set, fuzziness is determined by its membership functions. The shapes of membership functions are important, because it has an effect on fuzzy inference system. The shapes of membership functions can be triangular, trapezoidal and gaussian. The most widely used triangular membership function is used in this paper, because it can capture the short time period. In washing machine, open loop control system is found. This paper applies a fuzzy synthetic evaluation method (FSEM) for washing cloth in washing machine as FSEM can handle the multiple criteria with the help of evaluation matrix generated from membership function and weight matrix generated by Analytical Hierarchy Process (AHP). The purpose of this research is to minimize the wash time. By applying FSEM, we get a wash time which is less than that wash time got from applying the Mamdani approach in FCS. An example is given for illustration. For more reduction of wash time, statistical averaging method is also used. To reduce the wash time, statistical averaging method can be used in Mamdani approach also.

关 键 词：Fuzzy Control System Fuzzy Synthetic Evaluation Method Analytic Hierarchy Process Method Mamdani Approach Statistical Averaging Method 

分 类 号：O15[理学—数学]