Linguistic Semilinear Algebras and Linguistic Semivector Spaces

Authors

W. B. Vasantha KandasamyFollow
K. IlanthenralFollow
Florentin Smarandache, University of New MexicoFollow

Document Type

Book

Publication Date

2022

Abstract

This book introduces algebraic structures on linguistic sets associated with a linguistic variable.

The linguistics with single closed binary operations are only semigroups and monoids. Authors feel it is not possible to define the notion of linguistic group.

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.

Publisher

Global Knowledge

Language (ISO)

English

Keywords

Linguistic variable, linguistic algebraic structures, binary linguistic operations, linguistic semirings, linguistic semifields, linguistic semivector spaces, linguistic semilinear algebras defined over linguistic semifields

Recommended Citation

Kandasamy, W. B. Vasantha; K. Ilanthenral; and Florentin Smarandache. "Linguistic Semilinear Algebras and Linguistic Semivector Spaces." (2022). https://digitalrepository.unm.edu/math_fsp/561

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.