Open AccessPicture Fuzzy Incidence Graphs with Application
Author(s) -
Irfan Nazeer,
Tabasam Rashid
Publication year - 2021
Publication title -
the punjab university journal of mathematics
Language(s) - English
Resource type - Journals
ISSN - 1016-2526
DOI - 10.52280/pujm.2021.530701
Subject(s) - incidence (geometry) , fuzzy logic , complement (music) , mathematics , order (exchange) , computer science , discrete mathematics , artificial intelligence , business , geometry , biochemistry , chemistry , finance , complementation , gene , phenotype
In this research article, we initiate the novel idea of picturefuzzy incidence graphs (PFIGs). We explain some innovative notionscomprising of picture fuzzy cut-vertices, picture fuzzy bridges, picturefuzzy incidence cutpairs, and picture fuzzy incidence cut-vertices. Somerudimentary theorems and essential results are also examined in the PFIGs.Further, we determine the different concepts together with the order, size,and certain kinds of degrees in PFIG. A new type of PFIGs namely,complete picture fuzzy incidence graphs (CPFIGs) and complement of(PFIGs) are also furnished. A comparative analysis of PFIGs with fuzzyincidence graphs is also presented. Finally, an application of PFIGs inthe control of illegal transportation of people from India to America isprovided