N-Cubic Picture Fuzzy Linear Spaces
Gundeti Soujanya, B Surender Reddy
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Source: Crossref
Published: Aug 24, 2024
DOI: 10.17485/ijst/v17i31.1793
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Objectives: The major objective of the present work is to apply the concept of N-cubic structure to N-Picture Fuzzy Linear Spaces. It also examines the fundamental operations such as P-union, P-intersection, R-union and R- intersection of N-Cubic Picture Fuzzy Linear Spaces, ENCPFLS and INCPFLS, and discusses in detail both of them with examples. Methods: We define P(R)-union and P(R)- intersection of N- Cubic Picture Fuzzy Linear Spaces and its properties by giving few examples with the motivation of the notion of Cubic Picture Fuzzy Linear Space (CPFLS). Findings: The notion of external and internal N-Cubic Picture Fuzzy Linear Spaces including their properties are derived. Novelty: For the first time, we present the idea of N-Cubic Picture Fuzzy Linear Spaces (NCPFLS), which has been developed on the basis of interval valued N- Picture fuzzy linear spaces (IVNPFLS) and N-Picture fuzzy linear spaces (NPFLS). In addition, we have studied the basic operations which includes P(R)-union and P(R)- intersection on ENCPFLS and INCPFLS. Keywords: N-picture fuzzy set, N-cubic set, N-Picture fuzzy linear space, Interval valued N-Picture fuzzy linear spaces, P(R) union, P(R)intersection AMS Subject Classification: 08A72, 03E72
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