A Note on Fuzzy Groups
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Branimir Šešelja, Andreja Tepavčević (1997)
The Yugoslav Journal of Operations Research
Yin Hong, X. Fang (2005)
Mathware and Soft Computing
In this paper, we give some theorems which characterize the intraregular semigroups in terms of intuitionistic fuzzy left, right, and biideals.
Cristea, Irina (2002)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
Shabir, M. (2005)
International Journal of Mathematics and Mathematical Sciences
Samhan, Marouf A., Ahsanullah, T.M.G. (1994)
International Journal of Mathematics and Mathematical Sciences
Xiaokun Huang, Qingguo Li (2016)
Open Mathematics
The purpose of this paper is to introduce the notions of ∈, ∈ ∨qk-fuzzy ideals of a fuzzy ordered semigroup with the ordering being a fuzzy relation. Several characterizations of ∈, ∈ ∨qk-fuzzy left (resp. right) ideals and ∈, ∈ ∨qk-fuzzy interior ideals are derived. The lattice structures of all ∈, ∈ ∨qk-fuzzy (interior) ideals on such fuzzy ordered semigroup are studied and some methods are given to construct an ∈, ∈ ∨qk-fuzzy (interior) ideals from an arbitrary fuzzy subset. Finally, the characterizations...
Jun, Young Bae, Kim, Young Hee, Kim, Hee Sik (2002)
International Journal of Mathematics and Mathematical Sciences
Corsini, Piergiulio, Cristea, Irina (2005)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
Khan, Asghar, Jun, Young Bae, Mahmood, Tahir (2010)
International Journal of Mathematics and Mathematical Sciences
Kim, Kyung Ho, Jun, Young Bae (2001)
International Journal of Mathematics and Mathematical Sciences
Davvaz, B. (2006)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
Murali, V., Makamba, B.B. (2003)
International Journal of Mathematics and Mathematical Sciences
Kim, Kyung Ho (2001)
International Journal of Mathematics and Mathematical Sciences
Dobritsa, V.P., Yakh'yaeva, G.Eh. (2002)
Sibirskij Matematicheskij Zhurnal
A. Muhammad Rezvi, J. Mehmood (2012)
Matematički Vesnik
Salih, Haval Mahmood Mahamad, Borumand Saeid, Arsham (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
Makamba, B.B., Murali, V. (2005)
International Journal of Mathematics and Mathematical Sciences
Šešelja, Branimir (1998)
Novi Sad Journal of Mathematics
Suryansu Ray (1997)
Mathware and Soft Computing
Given a complete and atomic Boolean algebra B, there exists a family taugamma of triangular norms on B such that, under the partial ordering of triangular norms, taugamma is a Boolean algebra isomorphic to B, where gamma is the set of all atoms in B. In other words, as we have shown in this note, every complete and atomic Boolean algebra can be represented by its own triangular norms. What we have not shown in this paper is our belief that taugamma is not unique for B and that, for such a representation,...
Faisal, Naveed Yaqoob, Arsham Borumand Saeid (2012)
Discussiones Mathematicae - General Algebra and Applications
In this paper, we introduce the concept of bipolar-valued fuzzification of ordered 𝓐𝓖-groupoids and discuss some structural properties of bipolar-valued fuzzy two-sided ideals of an intra-regular ordered 𝓐𝓖-groupoid.
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