Linguistic Semilinear Algebras and Linguistic Semivector Spaces

By Kandasamy, Vasantha

Book Id: WPLBN0100304489
Format Type: PDF eBook:
File Size: 0.1 MB
Reproduction Date: 9/1/2022

Title:	Linguistic Semilinear Algebras and Linguistic Semivector Spaces
Author:	Kandasamy, Vasantha
Volume:
Language:	English
Subject:	Non Fiction, Science
Collections:	Authors Community, Mathematics
Historic Publication Date:	2022
Publisher:	Global Knowledge

Member Page:	Infinite Science
Citation APA MLA Chicago Kandasamy, B. V., & Smarandache, F. (2022). Linguistic Semilinear Algebras and Linguistic Semivector Spaces. Retrieved from http://gutenberg.cc/

Description
Algebraic structures on linguistic sets associated with a linguistic variable are introduced. The linguistics with single closed binary operations are only semigroups and monoids. We describe the new notion of linguistic semirings, linguistic semifields, linguistic semivector spaces and linguistic semilinear algebras defined over linguistic semifields. We also define algebraic structures on linguistic subsets of a linguistic set associated with a linguistic variable. We define the notion of linguistic subset semigroups, linguistic subset monoids and their respective substructures. We also define as in case of deals in classical semigroups, linguistic ideals in linguistic semigroups and linguistic monoids. This concept of linguistic ideals is extended to the case of linguistic subset semigroups and linguistic subset monoids. We also define linguistic substructures.