Insights into Soft Semigraphs: AND & OR Operations and Measurement Perspectives

Authors

  • B. George Department of Mathematics, Pavanatma College, Murickassery, 685604, India
  • R. K. Thumbakara Department of Mathematics, Mar Athanasius College, Kothamangalam, 686666, India
  • J. Jose Department of Science and Humanities, Viswajyothi College of Engineering and Technology Vazhakulam, 686670, India
  • S. P. George Department of Mathematics, Pavanatma College, Murickassery, 685604, India

DOI:

https://doi.org/10.3329/jsr.v17i1.73098

Abstract

Molodtsov pioneered the concept of soft sets, offering a method to classify elements of a universe based on a specified set of parameters. This approach serves to model vagueness and uncertainty. Semigraphs are a generalized form of graphs introduced by Sampathkumar. The integration of soft set theory into semigraphs led to the creation of soft semigraphs. Due to its adeptness in handling parameterization, the field of soft semi-graph theory is rapidly evolving. This study introduces AND and OR operations within soft semi-graphs and explores some of their characteristics. Furthermore, we present various soft semi-graph measurements, such as distance, radius, diameter, and center.

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Published

2025-01-01

How to Cite

George, B., Thumbakara, R. K., Jose, J., & George, S. P. (2025). Insights into Soft Semigraphs: AND & OR Operations and Measurement Perspectives. Journal of Scientific Research, 17(1), 87–103. https://doi.org/10.3329/jsr.v17i1.73098

Issue

Section

Section A: Physical and Mathematical Sciences