Ghanbari, M.Allahviranloo, T.Nuraei, R.Pedrycz, W.2022-02-282022-02-282022Ghanbari, M., Allahviranloo, T., Nuraei, R., & Pedrycz, W. (2022). A new effective approximate multiplication operation on LR fuzzy numbers and its application. Soft Computing, doi:10.1007/s00500-022-06861-y1432-7643https://doi.org/10.1007/s00500-022-06861-yhttps://hdl.handle.net/20.500.12713/2506The arithmetic operations on fuzzy numbers are the necessary tools for solving fuzzy equations. Unlike the addition, the procedure of multiplication of two fuzzy numbers is more demanding. In this paper, a new approximate multiplication formula for the LR fuzzy numbers is defined. Also, two simple applications of this new multiplication are presented. It is shown that, unlike the existing formulas, the proper fuzzy solution can be obtained by using the presented multiplication formula for some fuzzy algebraic equations. © 2022, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.eninfo:eu-repo/semantics/closedAccessFuzzy Algebraic EquationLR Fuzzy NumberMultiplication OperationArticleWOS:0007562045000022-s2.0-85124841569Q210.1007/s00500-022-06861-yQ2