International Journal of Computational Intelligence Systems

Volume 12, Issue 2, 2019, Pages 706 - 712

T-Normed Fuzzy TM-Subalgebra of TM-Algebras

Authors
Julie Thomas*, K. Indhira, V. M. Chandrasekaran
Department of Mathematics, Vellore Institute of Technology, Vellore, Tamil Nadu, 632014, India
*Corresponding author. Email: julietp369@gmail.com; julie.thomas@vit.ac.in
Corresponding Author
Julie Thomas
Received 30 March 2019, Accepted 2 July 2019, Available Online 17 July 2019.
DOI
10.2991/ijcis.d.190704.001How to use a DOI?
Keywords
TM-algebra; Fuzzy TM-subalgebra; T-normed fuzzy TM-subalgebra; Idempotent T-normed fuzzy set; T-direct product; T-product
Abstract

The concept of T-normed fuzzy TM-subalgebras is introduced by applying the notion of t-norm to fuzzy TM-algebra and its properties are investigated. The ideas based on minimum t-norm are generalized to all widely accepted t-norms in a fuzzy TM-subalgebra.The characteristics of an idempotent T-normed fuzzy TM-subalgebra are studied. The properties of image and the inverse image of a T-normed fuzzy TM-subalgebra under homomorphism is discussed. The T-direct product and T-product of T-normed fuzzy TM-subalgebras are also considered.

Copyright
© 2019 The Authors. Published by Atlantis Press SARL.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
International Journal of Computational Intelligence Systems
Volume-Issue
12 - 2
Pages
706 - 712
Publication Date
2019/07/17
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
10.2991/ijcis.d.190704.001How to use a DOI?
Copyright
© 2019 The Authors. Published by Atlantis Press SARL.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Julie Thomas
AU  - K. Indhira
AU  - V. M. Chandrasekaran
PY  - 2019
DA  - 2019/07/17
TI  - T-Normed Fuzzy TM-Subalgebra of TM-Algebras
JO  - International Journal of Computational Intelligence Systems
SP  - 706
EP  - 712
VL  - 12
IS  - 2
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.d.190704.001
DO  - 10.2991/ijcis.d.190704.001
ID  - Thomas2019
ER  -