Notes on Upper and Lower Truncation of Picture Fuzzy Graphs

Muhammad Shoaib, Waqas Mahmood, Ahmad N. Al-Kenani, Sahidul Islam and Sovan Samanta

Discrete Dynamics in Nature and Society, 2022, vol. 2022, 1-11

Abstract: 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.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:7646828

DOI: 10.1155/2022/7646828

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