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Linguistic Functions, W. B. Vasantha Kandasamy, K. Ilanthenral, Florentin Smarandache
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 Matrices, W. B. Vasantha Kandasamy, K. Ilanthenral, Florentin Smarandache
Linguistic Matrices, W. B. Vasantha Kandasamy, K. Ilanthenral, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
The authors build linguistic matrices only for those linguistic variables which yield a linguistic continuum or an ordered linguistic set. Most of the properties enjoyed by real and complex matrices are satisfied by these linguistic matrices. However, we see when we try to define operations on linguistic matrices that they behave in different ways. The possible operations defined on linguistic matrices are only the maximum and minimum. Further, we have different identities for min and max operations on these matrices for linguistic variable and its associated linguistic words.