A Study On Reliability Using Pendant, Hexant, Octant Fuzzy Numbers

  • P. Jini Varghese PG and Research Department of Mathematics, Jayaraj Annapackiam College for Women (Autonomous), Periyakulam, Theni
  • G. Michael Rosario PG and Research Department of Mathematics, Jayaraj Annapackiam College for Women (Autonomous), Periyakulam, Theni
Keywords: Pendant fuzzy number, Triangular Pendant fuzzy number, Trapezoidal Pendant fuzzy number, Pentagonal Pendant fuzzy number, Hexant fuzzy number, Triangular Hexant fuzzy number, Trapezoidal Hexant fuzzy number, Pentagonal Hexant fuzzy number, Octant fuzzy number, Triangular Octant fuzzy number, Trapezoidal Octant fuzzy number, Pentagonal Octant fuzzy number

Abstract

The weaving machine’s reliability is assessed using newly introduced fuzzy numbers. The fuzzy numbers introduced in this study give a better method to improve the reliability than other techniques. Pendant Fuzzy Number, Hexant Fuzzy Number, and Octant Fuzzy Number are all introduced in this present study. Pendant Fuzzy Number, Hexant Fuzzy Number, and Octant Fuzzy Number,α-cuts are defined, as well as their mathematical operations. The numerical examples are utilised to conduct a comparative research of reliability using various Fuzzy Numbers, and their defuzzification is accomplished using various ways such as Signed Distance method, Graded Mean Integration Method and Centroid Method. The purpose of this study is to discover the most reliable value for a weaving machine.

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Author Biographies

P. Jini Varghese, PG and Research Department of Mathematics, Jayaraj Annapackiam College for Women (Autonomous), Periyakulam, Theni

P. Jini Varghese received the bachelor’s degree in Mathematics from Mahathma Gandhi University, Kottayam, Kerala in 2006, the master’s degree in Mathematics from Mahathma Gandhi University, Kottayam, Kerala in 2008, and bachelor of Education in Mathematical Science from Mahathma Gandhi University, Kottayam, Kerala in 2009, respectively. She is currently working as an Assistant Professor at the Department of Basic Science and Humanities in Adi Shankara Institute of Engineering and Technology, Kalady, Kerala affiliated to Kerala Technical University. Her research area is Fuzzy Reliability and published many papers in highly-reputed journals.

G. Michael Rosario, PG and Research Department of Mathematics, Jayaraj Annapackiam College for Women (Autonomous), Periyakulam, Theni

G. Michael Rosario was the Head & Associate Professor (Rtd), Research Centre of Mathematics, Jayaraj Annapackiam College for Women (Autonomous), Periyakulam, Theni- District, TamilNadu, India. She is having 37 years of teaching experience and 15 years of research experience. She is senior member of “Operational Research Society of India”, with effect from July28, 2013. Her main areas of research include Applied Probability Theory, Application Of Marker Decision Process, Reliability in Service Facility System, Fuzzy Set theory, Fuzzy Inventory Models and Fuzzy Reliability Evaluation.

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Published
2021-10-14
Section
Articles