%0 Journal Article
%T Arithmetic Operations of Generalized Trapezoidal Picture Fuzzy Numbers by Vertex Method
%A Mohammad Kamrul Hasan
%A Abeda Sultana
%A Nirmal Kanti Mitra
%J American Journal of Computational Mathematics
%P 99-121
%@ 2161-1211
%D 2023
%I Scientific Research Publishing
%R 10.4236/ajcm.2023.131004
%X In this article,
we define the arithmetic operations of generalized trapezoidal picture fuzzy numbers
by vertex method which is assembled on a combination of the (<i>¦Á</i>, <i>¦Ã</i>, <i>¦Â</i>)-cut concept and standard interval analysis.
Various related properties are explored. Finally, some computations of picture fuzzy
functions over generalized picture fuzzy variables are illustrated by using our
proposed technique.
%K Picture Fuzzy Set
%K Generalized Trapezoidal Picture Fuzzy Number
%K (¦Á
%K ¦Ã
%K ¦Â)-Cut
%K Arithmetic Operations
%K Vertex Method
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=123729