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I-Vague Normal Groups
Authors: Zelalem Teshome Wale
Abstract:The notions of I-vague normal groups with membership and non-membership functions taking values in an involutary dually residuated lattice ordered semigroup are introduced which generalize the notions with truth values in a Boolean algebra as well as those usual vague sets whose membership and non-membership functions taking values in the unit interval [0, 1]. Various operations and properties are established.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1074383Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1217
 R. Biswas, Vague groups, International Journal of Computational Cognition, vol. 4(2), 2006, pp. 20-23. Systems, vol. 79, 1996, pp. 403-405.
 M. Demirci, Vague groups, Jou. Math. Anal. Appl., vol. 230, 1999, pp. 142-156.
 N. Ramakrishna, A Study of Vague Groups, Vague Universal Algebras and Vague Graphs, Doctoral Thesis, Andhra University, Visakhapatnam, India, March 2009.
 A. Rosenfeld, Fuzzy groups, J. Math. Anal. Appl. vol.35, 1971, pp. 512- 517.
 K. L. N. Swamy, Dually residuated lattice ordered semigroups, Math. Annalen, vol. 159, 1965, pp. 105 -114.
 K. L. N. Swamy, Dually residuated lattice ordered semigroups II, Math. Annalen, vol. 160, 1965, pp. 64 -71.
 K. L. N. Swamy, Dually residuated lattice ordered semigroups III, Math. Annalen, vol. 167, 1966 , pp.71-74.
 L. A. Zadeh, Fuzzy sets, Information and Control, vol. 8, 1965, pp. 338- 353.
 T. Zelalem, I-Vague Groups, submitted for publication to the International Journal of Computational and Mathematical Sciences.
 T. Zelalem, A Theory of I-Vague Sets, Doctoral Thesis, Andhra University, Vishakapatnam, India, July, 2010.