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Linguistic Functions, W. B. Vasantha Kandasamy, K. Ilanthenral, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

In this book, the authors have proved the analogues of the Bolzano Weierstrass theorem for the linguistic version. Several concepts in the case of linguistic continuum are very distinct from the natural classical real continuum. Categorically, we have three linguistic variables: one leading to a continuum, some finite and orderable set, and some not orderable. We define a linguistic plane associated with linguistic variables and give graphs associated with linguistic functions.

Linguistic Semilinear Algebras And Linguistic Semivector Spaces, W. B. Vasantha Kandasamy, K. Ilanthenral, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

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.