Notes on Upper and Lower Truncation of Picture Fuzzy Graphs | Zendy

Muhammad Shoaib | Zendy; Waqas Mahmood | Zendy; Ahmad N. AlKenani | Zendy; Sahidul Islam | Zendy

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Notes on Upper and Lower Truncation of Picture Fuzzy Graphs

Author(s) -

Muhammad Shoaib,

Waqas Mahmood,

Ahmad N. AlKenani,

Sahidul Islam

Publication year - 2022

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2022/7646828

Subject(s) - subdivision , truncation (statistics) , mathematics , graph , combinatorics , function (biology) , degree (music) , discrete mathematics , fuzzy logic , computer science , physics , statistics , artificial intelligence , archaeology , evolutionary biology , biology , acoustics , history

Due to the absence of a neutral function, there are drawbacks to the existing definition of an intuitionistic fuzzy graph (Int-FG). In that definition of Int-FG, membership function and nonmembership function are involved. In this study, lower truncation (Low-T) and upper truncation (Up-T) are applied to picture fuzzy graphs (Pic-FGs). Pic-FG has an additional neutral membership function. Furthermore, Low-T and Up-T of subdivision of the picture fuzzy line graph (Pic-FLnG) are also discussed. The degree of an edge in both Up-T and Low-T of Pic-FG is discussed. Some related theorems related to the degree of Up-T and Low-T of Pic-FG are discussed.

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