fuzzy (positive, weak) implicative hyper bck-ideals
Authors
abstract
in this note first we define the notions of fuzzy positive implicativehyper bck-ideals of types 1,2,3 and 4. then we prove some theorems whichcharacterize the above notions according to the level subsets. also we obtainthe relationships among these notions, fuzzy (strong, weak, reflexive) hyperbck-ideals and fuzzy positive implicative hyper bck-ideals of types 5,6,7and 8. then, we define the notions of fuzzy (weak) implicative hyper bckidealsand we obtain some related results. finally, by considering the productof two hyper bck-algebras we give some theorems which show that how theprojections of a fuzzy (positive implicative, implicative) hyper bck-ideal isagain a fuzzy (positive implicative, implicative) hyper bck-ideal.
similar resources
FUZZY (POSITIVE, WEAK) IMPLICATIVE HYPER BCK-IDEALS
In this note first we define the notions of fuzzy positive implicativehyper BCK-ideals of types 1,2,3 and 4. Then we prove some theorems whichcharacterize the above notions according to the level subsets. Also we obtainthe relationships among these notions, fuzzy (strong, weak, reflexive) hyperBCK-ideals and fuzzy positive implicative hyper BCK-ideals of types 5,6,7and 8. Then, we define the no...
full textFuzzy Implicative Hyper Bck-ideals of Hyper Bck-algebras
We consider the fuzzification of the notion of implicative hyper BCK-ideals, and then investigate several properties. Using the concept of level subsets, we give a characterization of a fuzzy implicative hyper BCK-ideal. We state a relation between a fuzzy hyper BCK-ideal and a fuzzy implicative hyper BCK-ideal. We establish a condition for a fuzzy hyper BCK-ideal to be a fuzzy implicative hype...
full textBipolar Fuzzy Implicative Hyper Bck-ideals in Hyper Bck-algebras
Bipolar-valued fuzzification of the notion of implicative hyper BCK-ideals is considered. Using the concepts of positive and negative lever sets, a characterization of a bipolar fuzzy implicative hyper BCK-ideal is provided. A relation between a bipolar fuzzy hyper BCK-ideal and a bipolar fuzzy implicative hyper BCK-ideal is established. A condition for a bipolar fuzzy hyper BCK-ideal to be a b...
full textFuzzy multiply positive implicative hyper BCK-ideals of hyper BCK-algebras
We consider the fuzzification of the notion of fuzzy multiply positive implicative hyper BCK-ideals of BCK-algebras and then some related results are obtained. Using the concept of level subsets, we give a characterization of a fuzzy multiply positive implicative hyper BCK-ideal. We state a relation between a fuzzy hyper BCK-ideal and a fuzzymultiply positive implicative hyper BCK-ideal. Moreov...
full textOn Cubic Implicative Hyper BCK-Ideals of Hyper BCK-Algebras
In this paper, we present the notions of cubic (weak) implicative hyper BCK-ideals of hyper BCKalgebras and then we present some results which characterize the above notions according to the level subsets. In addition, we obtain the relationship among these notions, cubic positive implicative hyper BCK-ideals of types-1, 2...8 and obtain some related results.AMS (2010): 06F35.
full textFolding Theory Applied to Some Types of Positive Implicative Hyper Bck-ideals in Hyper Bck-algebras
The foldness of PI( , ⊆, ⊆)BCK -ideals and PI( , , )BCK -ideals is considered. The fuzzy version of such notions is also discussed.
full textMy Resources
Save resource for easier access later
Journal title:
iranian journal of fuzzy systemsPublisher: university of sistan and baluchestan
ISSN 1735-0654
volume 1
issue 2 2004
Hosted on Doprax cloud platform doprax.com
copyright © 2015-2023