Analytical discourse on Linguistics in Classical and
Fuzzy Mathematics

Prakash N. Kamble

doi:https://doi.org/10.14445/22315373/IJMTT-V21P509

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 21 | Number 1 | Year 2015 | Article Id. IJMTT-V21P509 | DOI : https://doi.org/10.14445/22315373/IJMTT-V21P509

Analytical discourse on Linguistics in Classical and Fuzzy Mathematics

Prakash N. Kamble

Abstract

In this paper we emphasize, the importance of Linguistics in Classical Logic and its extended and generalized form ―a branch of Mathematics Fuzzy Logic‖. Both are the basic building blocks of Mathematics. The Classical logic deals with propositions which can be either true or false but not both (vague or inexact concepts). Whereas Fuzzy Logic deals with propositions which can be true or false, as well as they can take all the values between true and false. We propose the basic aspects of propositional logic (PL). The PL has advantage of being capable of interpreting in English Language. Just as in English Language grammar is used to generate sentences, in PL too grammar is used to generate well –formed propositions which are analogues of sentences. We construct the well – formed propositions and develop reasoning theory utilizing basic logical connectives. The study of PL consists of grammar, dictionary meaning, inference rules and valuations.

Keywords

Classical logical connectives, Fuzzy logical connectives and Linguistics quantifiers.

References

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Citation :

Prakash N. Kamble, "Analytical discourse on Linguistics in Classical and Fuzzy Mathematics," International Journal of Mathematics Trends and Technology (IJMTT), vol. 21, no. 1, pp. 64-68, 2015. Crossref, https://doi.org/10.14445/22315373/IJMTT-V21P509