Korean J. Math. Vol. 28 No. 1 (2020) pp.75-87
DOI: https://doi.org/10.11568/kjm.2020.28.1.75

A study on the quasi topos

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Published: Mar 30, 2020
Keywords:
category FRel, quasi topos, quasi power object, logic operator, vectoid
Mathematics Subject Classification:
18B25

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Igsung Kim
Sangji University

Abstract

Category F Rel of fuzzy sets and relations does not form a topos. J. Harding, C. Walker and E. Walker [3] showed that FRel has a tensor product and V. Durov [1] introduced basic definitions related to the notion of vectoid endowed with a tensor product. In this paper, we show that FRel forms a quasi topos. Also we show that there are quasi power objects in FRel. And by the use of the concepts of FRel and quasi topos, we get the logic operators of FRel. Moreover, we show that FRel forms a vectoid.



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Supporting Agencies

Sangji University Research Fund

References

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