Intuitionistic fuzzy sublattices and ideals

K. V. Thomas () and Latha S. Nair ()
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K. V. Thomas: Bharata Mata College
Latha S. Nair: Mar Athanasius College

Fuzzy Information and Engineering, 2011, vol. 3, issue 3, 321-331

Abstract: Abstract We study the concept of intuitionistic fuzzy sublattices and intuitionistic fuzzy ideals of a lattice. Some characterization and properties of these intuitionistic fuzzy sublattices and ideals are established. Also we introduce the sum and product of two intuitionistic fuzzy ideals and prove that the sum and product of two Intuitionistic fuzzy ideals of a distributive lattice is again an intuitionistic fuzzy ideal. Moreover, we study the properties of intuitionistic fuzzy ideals under lattice homomorphism.

Keywords: Lattice; Intuitionistic fuzzy sets; Fuzzy sublattice; Fuzzy ideal; Homomorphism; Epimorphism (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/s12543-011-0086-5

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