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Fuzzy Lattice Ordered M-Group

by M. U. Makandar, A. D. Lokhande
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 82 - Number 8
Year of Publication: 2013
Authors: M. U. Makandar, A. D. Lokhande
10.5120/14138-2270

M. U. Makandar, A. D. Lokhande . Fuzzy Lattice Ordered M-Group. International Journal of Computer Applications. 82, 8 ( November 2013), 31-36. DOI=10.5120/14138-2270

@article{ 10.5120/14138-2270,
author = { M. U. Makandar, A. D. Lokhande },
title = { Fuzzy Lattice Ordered M-Group },
journal = { International Journal of Computer Applications },
issue_date = { November 2013 },
volume = { 82 },
number = { 8 },
month = { November },
year = { 2013 },
issn = { 0975-8887 },
pages = { 31-36 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume82/number8/14138-2270/ },
doi = { 10.5120/14138-2270 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:57:14.762324+05:30
%A M. U. Makandar
%A A. D. Lokhande
%T Fuzzy Lattice Ordered M-Group
%J International Journal of Computer Applications
%@ 0975-8887
%V 82
%N 8
%P 31-36
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

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

References
  1. Ajmal N and K. V. Thomas, The Lattice of Fuzzy subgroups and fuzzy normal subgroups, Inform. sci. 76 (1994), 1 – 11.
  2. Birkoff, G : Lattice theory 3rd edn. Amer. Math. Soc. Colloquium pub. 25 (1984).
  3. G. S. V. Satya Saibaba. Fuzzy lattice ordered groups, South east Asian Bulletin of Mathematics 32,749-766 (2008).
  4. J. A. Goguen : L – Fuzzy Sets, J. Math Anal. Appl. 18, 145-174 (1967).
  5. L. A. Zadeh : Fuzzy sets, Inform and Control, 8, 338-353 (1965).
  6. M. Marudai & V. Rajendran: Characterization of Fuzzy Lattices on a Group International Journal of Computer Applications with Respect to T-Norms, 8(8),0975 – 8887 ( 2010)
  7. Mordeson and D. S. Malik : Fuzzy Commutative Algebra, World Scientific Publishing Co. Pvt. Ltd.
  8. Nanda, S : Fuzzy Lattices, Bulletin Calcutta Math. Soc. 81 (1989) 1 – 2.
  9. Rosenfeld : Fuzzy groups, J. Math. Anal. Appl. 35, 512 – 517 (1971).
  10. S. Subramanian, R Nagrajan & Chellappa , Structure Properties of M-Fuzzy Groups Applied Mathematical Sciences,6(11),545-552( 2012)
  11. 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).
  12. W. X. Gu. S. Y. Li and D. G. Chen, fuzzy groups with operators, fuzzy sets and system,66 (1994) ,363-371.
Index Terms

Computer Science
Information Sciences

Keywords

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

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