We apologize for a recent technical issue with our email system, which temporarily affected account activations. Accounts have now been activated. Authors may proceed with paper submissions. PhDFocusTM
CFP last date
20 November 2024
Call for Paper
December Edition
IJCA solicits high quality original research papers for the upcoming December edition of the journal. The last date of research paper submission is 20 November 2024

Submit your paper
Know more
The week's pick
Responsive image
Improved Shuffled Frog Leaping Algorithm with Self-Adaptive Shuffling for Fuzzy Logic PD+G Controller Optimization in Robotic Manipulators

Duc Hoang Nguyen
Random Articles
Reseach Article

Article:Characterization of Fuzzy Lattices on a Group with Respect to T-Norms

by Dr. M. Marudai, V. Rajendran
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 8 - Number 8
Year of Publication: 2010
Authors: Dr. M. Marudai, V. Rajendran
10.5120/1230-1802

Dr. M. Marudai, V. Rajendran . Article:Characterization of Fuzzy Lattices on a Group with Respect to T-Norms. International Journal of Computer Applications. 8, 8 ( October 2010), 8-15. DOI=10.5120/1230-1802

@article{ 10.5120/1230-1802,
author = { Dr. M. Marudai, V. Rajendran },
title = { Article:Characterization of Fuzzy Lattices on a Group with Respect to T-Norms },
journal = { International Journal of Computer Applications },
issue_date = { October 2010 },
volume = { 8 },
number = { 8 },
month = { October },
year = { 2010 },
issn = { 0975-8887 },
pages = { 8-15 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume8/number8/1230-1802/ },
doi = { 10.5120/1230-1802 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T19:56:53.027988+05:30
%A Dr. M. Marudai
%A V. Rajendran
%T Article:Characterization of Fuzzy Lattices on a Group with Respect to T-Norms
%J International Journal of Computer Applications
%@ 0975-8887
%V 8
%N 8
%P 8-15
%D 2010
%I Foundation of Computer Science (FCS), NY, USA
Abstract

We introduce the notion of fuzzy lattice of groups and investigated some of its basic properties. We also study the homomorphic image, pre-image of fuzzy lattices, arbitrary family of fuzzy lattices and lattice fuzzy normal groups using T-norms. we introduce the notion of sensible fuzzy lattice in groups and some related properties of lattices are discussed.

References
  1. N. Ajmal and K.V.Thomas, The Lattice of Fuzzy subgroups and fuzzy normal sub groups, Inform. sci. 76 (1994), 1 – 11.
  2. Birkoff, G : Lattice theory 3rd edn. Amer. Math. Soc. Colloquium pub.25 (1984).
  3. Dubois, D. Prade, H : Fuzzy sets and system – Theory and applications. Academic press. (1980).
  4. Nanda, S : Fuzzy Lattices, Bulletin Calcutta Math. Soc. 81 (1989) 1 – 2.
  5. L. Fuchs : Partialy ordered algebraic systems, Pergamon Press, 1963.
  6. J.A. Goguen : L – Fuzzy Sets, J. Math Anal. Appl. 18, 145-174 (1967).
  7. John N Mordeson and D.S. Malik : Fuzzy Commutative Algebra, World Scientific Publishing Co. Pvt. Ltd.
  8. Ath. Kehagia’s : The Lattice of fuzzy intervals and sufficient conditions for its distributivity, June 11, 2005.
  9. V. Murali : Lattice of fuzzy algebras and closure system in Ix, Fuzzy sets and systems 41, 101-111 (1991).
  10. A. Rosenfeld : Fuzzy groups, J. Math. Anal. Appl. 35, 512 – 517 (1971).
  11. U.M.Swamy and D. Viswanatha Raju : Algebraic fuzzy systems, Fuzzy sets and system 41, 187-194 (1991).
  12. A. Solairaju and R. Nagarajan : Lattice Valued Q-fuzzy left R – Submodules of Neat Rings with respect to T-Norms, Advances in fuzzy mathematics 4(2), 137 – 145 (2009).
  13. A. Solairaju and R. Nagarajan : A New Structure and Construction of Q-fuzzy groups, Advances in fuzzy mathematics 4(1), 23-29 (2009)
  14. G.S.V. Satya Saibaba. Fuzzy lattice ordered groups, South east Asian Bulletin of Mathematics 32, 749-766 (2008).
  15. L.A. Zadeh : Fuzzy sets, Inform and Control, 8, 338-353 (1965).
Index Terms

Computer Science
Information Sciences

Keywords

Lattice ordered group Fuzzy lattice Sensible fuzzy normal lattice pre-image direct product

Powered by PhDFocusTM