https://iaeme.com/Home/journal/IJEET 122 editor@iaeme.com International Journal of Electrical Engineering and Technology (IJEET) Volume 12, Issue 11, November 2021, pp. 122-130, Article ID: IJEET_12_11_011 Available online at https://iaeme.com/Home/issue/IJEET?Volume=12&Issue=11 ISSN Print: 0976-6545 and ISSN Online: 0976-6553 DOI: https://doi.org/10.34218/IJEET.12.11.2021.011 © IAEME Publication Scopus Indexed TOPSIS METHOD FOR MULTI-CRITERIA DECISION MAKING IN FUZZY ENVIRONMENT P.K. Parida 1* , S.P. Baral 1 and S. K. Sahoo 3 1,2 Department of Mathematics, C.V. Raman Global University, Bhubaneswar, India. 3 Institute of Mathematics & Applications, Bhubaneswar, India *Corresponding Author ABSTRACT The TOPSIS (Technique for Order Performance by Similarity to Ideal Solution) method and its expansion were introduced five decades ago. During the recent years, the distinct techniques of multi-criteria decision-making (MCDM) have been used to develop decision makers to select better alternatives for various decision making problems. In this paper we represent the fuzzy set and TOPSIS according to the traditional decision theory with different algorithms. Using the algorithms ranking order of TOPSIS method, fuzzy TOPSIS method are calculated by closeness coefficients based on negative ideal solution (NIS) and proximity of positive ideal solution (PIS). Lastly, we present few applications of fuzzy TOPSIS method. Key words: Fuzzy set; Multi-criteria decision-making; Triangular fuzzy number; TOPSIS; FTOPSIS. Cite this Article: P.K. Parida, S.P. Baral and S.K. Sahoo, TOPSIS Method for Multi- Criteria Decision Making in Fuzzy Environment, International Journal of Electrical Engineering and Technology (IJEET). 12(11), 2021, pp. 122-130. https://iaeme.com/Home/issue/IJEET?Volume=12&Issue=11 1. INTRODUCTION Decision-making is a procedure now a day. Every decision makers can take their decision by the help of experts using set of alternatives and criteria. MCDM is a set of techniques to aid the decision makers to choose the acceptable alternatives with respect to the suitable criteria. The MCDM includes the set of alternatives, set of criteria. In the decision-making process, the decision makers provides the own evaluations for each alternatives with respect to the each criteria. The Technique for Order Performance by Similarity to Ideal Solution (TOPSIS) is one of the most widely used MCDM methods [1] in such solutions. The TOPSIS method was proposed by Hwang and Yoon in 1981 [2]. This TOPSIS method drudgery on the postulate of finding the excellent solution when compared to a perfect solution. In the business affairs we select technology; decisions are often taken in unpredictable environments and evaluations. The