RELATIONS AND CORELATIONS BETWEEN LATTICES OF FUZZY SUBSETS

˙ismail U. Tiryaki; Lawrence M. Brown

Research Article

RELATIONS AND CORELATIONS BETWEEN LATTICES OF FUZZY SUBSETS

Year 2005, Volume: 34 , 69 - 89, 01.01.2005

Abstract

In this paper a theory of relations and corelations between the lattice
of fuzzy subsets of a crisp set X and that of a crisp set Y is developed,
based on the theory of relations and corelations between textures. In a
series of examples it is shown that these notions generalize in a natural
way the impotant concept of fuzzy relation from X to Y . Difunctions
are also characterized and their relationship with known mappings between fuzzy sets is investigated.

Keywords

Hutton algebra, Hutton texture, Direlation, Difunction, Fuzzy relation, Isomorphism, Full embedding

References

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Year 2005, Volume: 34 , 69 - 89, 01.01.2005

˙ismail U. Tiryaki Lawrence M. Brown

Abstract

References

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There are 1 citations in total.

Details

Primary Language	English
Subjects	Mathematical Sciences
Journal Section	Mathematics
Authors	˙ismail U. Tiryaki Lawrence M. Brown This is me
Publication Date	January 1, 2005
Published in Issue	Year 2005 Volume: 34

Cite

APA	Tiryaki, ˙. U., & Brown, L. M. (2005). RELATIONS AND CORELATIONS BETWEEN LATTICES OF FUZZY SUBSETS. Hacettepe Journal of Mathematics and Statistics, 34, 69-89.
AMA	Tiryaki ˙U, Brown LM. RELATIONS AND CORELATIONS BETWEEN LATTICES OF FUZZY SUBSETS. Hacettepe Journal of Mathematics and Statistics. January 2005;34:69-89.
Chicago	Tiryaki, ˙ismail U., and Lawrence M. Brown. “RELATIONS AND CORELATIONS BETWEEN LATTICES OF FUZZY SUBSETS”. Hacettepe Journal of Mathematics and Statistics 34, January (January 2005): 69-89.
EndNote	Tiryaki ˙U, Brown LM (January 1, 2005) RELATIONS AND CORELATIONS BETWEEN LATTICES OF FUZZY SUBSETS. Hacettepe Journal of Mathematics and Statistics 34 69–89.
IEEE	˙. U. Tiryaki and L. M. Brown, “RELATIONS AND CORELATIONS BETWEEN LATTICES OF FUZZY SUBSETS”, Hacettepe Journal of Mathematics and Statistics, vol. 34, pp. 69–89, 2005.
ISNAD	Tiryaki, ˙ismail U. - Brown, Lawrence M. “RELATIONS AND CORELATIONS BETWEEN LATTICES OF FUZZY SUBSETS”. Hacettepe Journal of Mathematics and Statistics 34 (January 2005), 69-89.
JAMA	Tiryaki ˙U, Brown LM. RELATIONS AND CORELATIONS BETWEEN LATTICES OF FUZZY SUBSETS. Hacettepe Journal of Mathematics and Statistics. 2005;34:69–89.
MLA	Tiryaki, ˙ismail U. and Lawrence M. Brown. “RELATIONS AND CORELATIONS BETWEEN LATTICES OF FUZZY SUBSETS”. Hacettepe Journal of Mathematics and Statistics, vol. 34, 2005, pp. 69-89.
Vancouver	Tiryaki ˙U, Brown LM. RELATIONS AND CORELATIONS BETWEEN LATTICES OF FUZZY SUBSETS. Hacettepe Journal of Mathematics and Statistics. 2005;34:69-8.