Fuzzy Regular Languages Based on Residuated Lattice-Reference-Cited by-同舟云学术

Fuzzy Regular Languages Based on Residuated Lattice

Published:2020-07 Issue:02 Volume:16 Page:363-376
ISSN:1793-0057
Container-title:New Mathematics and Natural Computation
language:en
Short-container-title:New Math. and Nat. Computation

Author:

Singh Anupam K.¹,Tiwari S. P.²

Affiliation:

1. Department of Mathematics, C. M. College, A Constituent Unit of Lalit Narayan Mithila University, Darbhanga, Bihar 846004, India

2. Department of Mathematics & Computing, Indian Institute of Technology (ISM), Dhanbad 826004, India

Abstract

The purpose of this work is to introduce the concept of fuzzy regular languages (FRL) accepted by fuzzy finite automata, and try to introduce the categorical look of fuzzy languages where the codomain of membership functions are taken as a complete residuated lattice, instead of [Formula: see text]. Also, we have introduced pumping lemma for FRL, which is used to establish a necessary and sufficient condition for a given fuzzy languages to be non-constant.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Computational Theory and Mathematics,Computational Mathematics,Computer Science Applications,Human-Computer Interaction

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793005720500222

Reference20 articles.

1. Fuzzy Automata and Languages

2. Maximin automata

3. Deterministic Acceptors of Regular Fuzzy Languages

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