Support Functions and Combination Rules in Hyper Power Set and Super Power Set
Simple support function, belief function, probability density function, hyper power set, super power set.
The probability theory and belief function theory are two important tools dealing with uncertainty. The concepts of probability theory and belief function theory are exchangeable with proper modifications. Rarely, authors are using approach from probability theory to belief function theory. The branch of belief function theory viz. evidence theory is useful in many fields such as behavioral sciences, investigation bureaus, data mining etc. The simple support functions are particular type of belief functions. The combination rules of simple support functions are introduced by Dempster [8] in two dimensions for heterogeneous evidences and conflicting evidences. Super power set includes hyper power set and hyper power set includes power set. In this paper, we generalize these combination rules of simple support functions in three dimensions for heterogeneous evidences and conflicting evidences in hyper power set and apply these combination rules of simple support functions for two dimensions for heterogeneous evidences and conflicting evidences in super power set. This approach is supported by an illustrative example. Also, we discuss about combination rules of simple support functions for higher dimensions in hyper power set and super power set.
"Support Functions and Combination Rules in Hyper Power Set and Super Power Set", IJSDR - International Journal of Scientific Development and Research (www.IJSDR.org), ISSN:2455-2631, Vol.8, Issue 7, page no.459 - 479, July-2023, Available :https://ijsdr.org/papers/IJSDR2307067.pdf
Volume 8
Issue 7,
July-2023
Pages : 459 - 479
Paper Reg. ID: IJSDR_207711
Published Paper Id: IJSDR2307067
Downloads: 000347277
Research Area: Mathematics
Country: Ahmednagar, Maharashtra, India
ISSN: 2455-2631 | IMPACT FACTOR: 9.15 Calculated By Google Scholar | ESTD YEAR: 2016
An International Scholarly Open Access Journal, Peer-Reviewed, Refereed Journal Impact Factor 9.15 Calculate by Google Scholar and Semantic Scholar | AI-Powered Research Tool, Multidisciplinary, Monthly, Multilanguage Journal Indexing in All Major Database & Metadata, Citation Generator
Publisher: IJSDR(IJ Publication) Janvi Wave
