Fuzzy Sets and Systems
Prime L-fuzzy ideals and primary L-fuzzy ideals
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Information Sciences: an International Journal
Fuzzy Sets and Systems
On fuzzy subnear-rings and ideals
Fuzzy Sets and Systems
Certain fuzzy ideals of rings redefined
Fuzzy Sets and Systems
Fuzzy regular subsemigroups in semigroups
Information Sciences: an International Journal
Fuzzy generalized bi-ideals in semigroups
Information Sciences: an International Journal
On pointwise depiction of fuzzy regularity of semigroups
Information Sciences: an International Journal
The nil radical of a fuzzy ideal
Fuzzy Sets and Systems
Fuzzy ideals generated by fuzzy sets in semigroups
Information Sciences—Intelligent Systems: An International Journal
The lower and upper approximations in a fuzzy group
Information Sciences: an International Journal
Information Sciences: an International Journal
The embedding of an ordered groupoid into a poe-groupoid in terms of fuzzy sets
Information Sciences: an International Journal
Information Sciences—Informatics and Computer Science: An International Journal
Two new operators in rough set theory with applications to fuzzy sets
Information Sciences—Informatics and Computer Science: An International Journal
Fuzzy bi-ideals in ordered semigroups
Information Sciences—Informatics and Computer Science: An International Journal
TL-filters of integral residuated l-monoids
Information Sciences: an International Journal
Redefined fuzzy Hv-submodules and many valued implications
Information Sciences: an International Journal
Information Sciences: an International Journal
Algebras with fuzzy equalities
Fuzzy Sets and Systems
Some notes on equivalent fuzzy sets and fuzzy subgroups
Fuzzy Sets and Systems
On the topological properties of fuzzy rough sets
Fuzzy Sets and Systems
On the structure of generalized rough sets
Information Sciences: an International Journal
Rough prime ideals and rough fuzzy prime ideals in semigroups
Information Sciences: an International Journal
Intuitionistic fuzzy Hv-submodules
Information Sciences: an International Journal
Regular ordered semigroups in terms of fuzzy subsets
Information Sciences: an International Journal
Roughness based on fuzzy ideals
Information Sciences: an International Journal
Generalized fuzzy interior ideals in semigroups
Information Sciences: an International Journal
Fuzzy hyperrings (Hv-rings) based on fuzzy universal sets
Information Sciences: an International Journal
Characterizations of regular ordered semigroups in terms of (α,β)-fuzzy generalized bi-ideals
Information Sciences: an International Journal
Nuclei and conuclei on residuated lattices
Fuzzy Sets and Systems
Q-fuzzy subsets on ordered semigroups
Fuzzy Sets and Systems
Information Sciences: an International Journal
Characterizations of regular ordered semigroups by generalized fuzzy ideals
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
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Let S be an ordered semigroup. A fuzzy subset of S is, by definition, an arbitrary mapping f: S-[0,1], where [0,1] is the usual interval of real numbers. Motivated by studying prime fuzzy ideals in rings, semigroups and ordered semigroups, and as a continuation of Kehayopulu and Tsingelis's works in ordered semigroups in terms of fuzzy subsets, in this paper we introduce the notion of ordered fuzzy points of an ordered semigroup S, and give a characterization of prime fuzzy ideals of an ordered semigroup S. We also introduce the concepts of weakly prime fuzzy ideals, completely prime fuzzy ideals, completely semiprime fuzzy ideals and weakly completely prime fuzzy ideals of an ordered semigroup S, and establish the relationship between the five classes of ideals. Furthermore, we characterize weakly prime fuzzy ideals, completely semiprime fuzzy ideals and weakly completely prime fuzzy ideals of S by their level ideals. Finally, we introduce and investigate the fuzzy radicals of ordered semigroups by means of ordered fuzzy points, and prove that the fuzzy radical of every completely semiprime fuzzy ideal of an ordered semigroup S can be expressed as the intersection of all weakly completely prime fuzzy ideals containing it. As an application of the results of this paper, the corresponding results of semigroups (without order) are also obtained.