Semantic Apparatus – Algebraic Semantics of Generalized RIFs

Cited by Lee Sonogan

Algebraic Semantics in Language Philosophy

Abstract by A Mani

Abstract. A number of numeric measures like rough inclusion functions (RIFs) are used in general rough sets and soft computing. But these are often intrusive by definition, and amount to making unjustified assump-tions about the data. The contamination problem is also about recognizing the domains of discourses involved in this, specifying errors and reduc-ing data intrusion relative to them. In this research, weak quasi rough inclusion functions (wqRIFs) are generalized to general granular oper-ator spaces with scope for limiting contamination. New algebraic opera-tions are defined over collections of such functions, and are studied by the present author. It is shown by her that the algebras formed by the gener-alized wqRIFs are ordered hemirings with additional operators. By con-trast the generalized rough inclusion functions lack similar structure. This potentially contributes to improving the selection (possibly automatic) of such functions, training methods, and reducing contamination (and data intrusion) in applications. The underlying framework and associated con-cepts are explained in some detail as they are relatively new.

Publication: Indian Statistical Institute (Peer-Reviewed Journal)

Pub Date: 2021 Doi: https://arxiv.org/pdf/2109.12998.pdf

Keywords: Algebraic Semantics, Gerneralized, Rough Inclusion Functions

https://arxiv.org/pdf/2109.12998.pdf (Plenty more sections and references in this research article)

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