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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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 -