INTERNATIONAL JOURNAL OF SCIENTIFIC DEVELOPMENT AND RESEARCH International Peer Reviewed & Refereed Journals, Open Access Journal ISSN Approved Journal No: 2455-2631 | Impact factor: 8.15 | ESTD Year: 2016
open access , Peer-reviewed, and Refereed Journals, Impact factor 8.15
Support Functions and Combination Rules in Hyper Power Set and Super Power Set
Authors Name:
Kandekar Dnyandeo Namdeo
Unique Id:
IJSDR2307067
Published In:
Volume 8 Issue 7, July-2023
Abstract:
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.
Keywords:
Simple support function, belief function, probability density function, hyper power set, super power set.
Cite Article:
"Support Functions and Combination Rules in Hyper Power Set and Super Power Set", International Journal of Science & Engineering Development Research (www.ijsdr.org), ISSN:2455-2631, Vol.8, Issue 7, page no.459 - 479, July-2023, Available :http://www.ijsdr.org/papers/IJSDR2307067.pdf
Downloads:
000338536
Publication Details:
Published Paper ID: IJSDR2307067
Registration ID:207711
Published In: Volume 8 Issue 7, July-2023
DOI (Digital Object Identifier):
Page No: 459 - 479
Publisher: IJSDR | www.ijsdr.org
ISSN Number: 2455-2631
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