@book {AHS,
AUTHOR = {Ad{\'a}mek, Ji{\v{r}}{\'\i} and Herrlich, Horst and Strecker,
George E.},
TITLE = {Abstract and concrete categories},
PUBLISHER = {John Wiley \& Sons Inc.},
ADDRESS = {New York},
YEAR = {1990},
PAGES = {xiv+482},
ISBN = {0-471-60922-6},
MRCLASS = {18-02 (08C05 18A20 18B30 54B30)},
MRNUMBER = {91h:18001},
MRREVIEWER = {Saunders Mac Lane},
}
@article {Ch58,
AUTHOR = {Chang, C. C.},
TITLE = {Algebraic analysis of many valued logics},
JOURNAL = {Trans. Amer. Math. Soc.},
VOLUME = {88},
YEAR = {1958},
PAGES = {467--490},
MRCLASS = {02.00 (06.00)},
MRNUMBER = {20 \#821},
MRREVIEWER = {B. A. Galler},
}
@article {Ch59,
AUTHOR = {Chang, C. C.},
TITLE = {A new proof of the completeness of the {\L}ukasiewicz axioms},
JOURNAL = {Trans. Amer. Math. Soc.},
VOLUME = {93},
YEAR = {1959},
PAGES = {74--80},
MRCLASS = {02.25},
MRNUMBER = {23 \#A58},
MRREVIEWER = {A. Rose},
}
@article {Ch,
AUTHOR = {Chang, C. L.},
TITLE = {Fuzzy topological spaces},
JOURNAL = {J. Math. Anal. Appl.},
VOLUME = {24},
YEAR = {1968},
PAGES = {182--190},
MRCLASS = {54.10 (94.00)},
MRNUMBER = {38 \#5153},
MRREVIEWER = {R. F. Drenick},
}
@book {Gierz,
AUTHOR = {Gierz, Gerhard and Hofmann, Karl Heinrich and Keimel, Klaus
and Lawson, Jimmie D. and Mislove, Michael W. and Scott, Dana S.},
TITLE = {A compendium of continuous lattices},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1980},
PAGES = {xx+371},
ISBN = {3-540-10111-X},
MRCLASS = {06B30 (03G10 30G30 54H12)},
MRNUMBER = {82h:06005},
MRREVIEWER = {James W. Lea, Jr.},
}
@article {Go67,
AUTHOR = {Goguen, J. A.},
TITLE = {${L}$-fuzzy sets},
JOURNAL = {J. Math. Anal. Appl.},
VOLUME = {18},
YEAR = {1967},
PAGES = {145--174},
MRCLASS = {94.20 (06.00)},
MRNUMBER = {36 \#7435},
MRREVIEWER = {S. Csibi},
}
@article {Go73,
AUTHOR = {Goguen, J. A.},
TITLE = {The fuzzy {T}ychonoff theorem},
JOURNAL = {J. Math. Anal. Appl.},
VOLUME = {43},
YEAR = {1973},
PAGES = {734--742},
MRCLASS = {54A05},
MRNUMBER = {49 \#6116},
MRREVIEWER = {C. K. Wong},
}
@book {HS,
AUTHOR = {Herrlich, Horst and Strecker, George E.},
TITLE = {Category theory},
PUBLISHER = {Heldermann Verlag},
ADDRESS = {Berlin},
YEAR = {1979},
PAGES = {xii+400},
ISBN = {3-88538-001-3},
MRCLASS = {18-01 (18-02)},
MRNUMBER = {81e:18001},
}
@article {Ho91,
AUTHOR = {H{\"o}hle, Ulrich},
TITLE = {Monoidal closed categories, weak topoi and generalized logics},
JOURNAL = {Fuzzy Sets and Systems},
FJOURNAL = {Fuzzy Sets and Systems. International Journal of Soft
Computing and Intelligence},
VOLUME = {42},
YEAR = {1991},
NUMBER = {1},
PAGES = {15--35},
ISSN = {0165-0114},
CODEN = {FSSYD8},
MRCLASS = {03G30 (03E72 04A72)},
MRNUMBER = {92i:03071},
MRREVIEWER = {R. Gylys},
}
@incollection {Ho92,
AUTHOR = {H{\"o}hle, Ulrich},
TITLE = {${M}$-valued sets and sheaves over integral commutative ${\rm
cl}$-monoids},
BOOKTITLE = {Applications of category theory to fuzzy subsets (Linz, 1989)},
PAGES = {33--72},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Dordrecht},
YEAR = {1992},
MRCLASS = {03G30 (03B50 03E72 18B99)},
MRNUMBER = {93c:03086},
MRREVIEWER = {R. Gylys},
}
@incollection {Ho94,
AUTHOR = {H{\"o}hle, Ulrich},
TITLE = {Commutative, residuated $l$-monoids},
BOOKTITLE = {Non-classical logics and their applications to fuzzy subsets
(Linz, 1992)},
PAGES = {53--106},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Dordrecht},
YEAR = {1995},
MRCLASS = {03G25 (06F05)},
MRNUMBER = {96f:03052},
}
@article {HoSO95,
AUTHOR = {H{\"o}hle, Ulrich and {\v{S}}ostak, Alexander P. },
TITLE = {A general theory of fuzzy topological spaces},
JOURNAL = {Fuzzy Sets and Systems},
FJOURNAL = {Fuzzy Sets and Systems. International Journal of Soft
Computing and Intelligence},
VOLUME = {73},
YEAR = {1995},
NUMBER = {1},
PAGES = {131--149},
ISSN = {0165-0114},
CODEN = {FSSYD8},
MRCLASS = {54A40 (04A72)},
MRNUMBER = {96e:54004},
}
@incollection {HoSO99,
AUTHOR = {H{\"o}hle, Ulrich and {\v{S}}ostak, Alexander P.},
TITLE = {Axiomatic foundations of fixed-basis fuzzy topology},
BOOKTITLE = {Mathematics of fuzzy sets},
PAGES = {123--272},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Boston, MA},
YEAR = {1999},
MRCLASS = {54A40},
MRNUMBER = {1 788 903},
}
@misc {HPS1,
AUTHOR = {H{\"o}hle, Ulrich and Porst, Hans-E. and {\v{S}}ostak,
Alexander P.},
title={Fuzzy functions: A fuzzy extension of the category SET},
howpublished={In: FSTA 2000 (Abstracts of a conference), Liptovski
Mikula\v{s}, Slovakia, January 3--February 4, 2000},
}
@article {HPS2,
AUTHOR = {H{\"o}hle, Ulrich and Porst, Hans-E. and {\v{S}}ostak,
Alexander P.},
TITLE = {Fuzzy functions: a fuzzy extension of the category {S}{E}{T}
and some related categories},
JOURNAL = {Appl. Gen. Topol.},
FJOURNAL = {Applied General Topology},
VOLUME = {1},
YEAR = {2000},
NUMBER = {1},
PAGES = {115--127},
ISSN = {1576-9402},
MRCLASS = {03E72 (18A05 54A40)},
MRNUMBER = {2001j:03097},
MRREVIEWER = {Ying Ming Liu},
}
@book {Jhst,
AUTHOR = {Johnstone, Peter T.},
TITLE = {Stone spaces},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {1982},
PAGES = {xxi+370},
ISBN = {0-521-23893-5},
MRCLASS = {54-02 (06Dxx 18B30)},
MRNUMBER = {85f:54002},
MRREVIEWER = {Andreas Blass},
}
@article {Lo76,
AUTHOR = {Lowen, R.},
TITLE = {Fuzzy topological spaces and fuzzy compactness},
JOURNAL = {J. Math. Anal. Appl.},
VOLUME = {56},
YEAR = {1976},
NUMBER = {3},
PAGES = {621--633},
MRCLASS = {54A05},
MRNUMBER = {55 \#13357},
MRREVIEWER = {C. K. Wong},
}
@article {So89,
AUTHOR = {{\v{S}}ostak, Alexander P.},
TITLE = {Two decades of fuzzy topology: the main ideas, concepts and
results},
JOURNAL = {Uspekhi Mat. Nauk},
FJOURNAL = {Akademiya Nauk SSSR i Moskovskoe Matematicheskoe Obshchestvo.
Uspekhi Matematicheskikh Nauk},
VOLUME = {44},
YEAR = {1989},
NUMBER = {6(270)},
PAGES = {99--147, 203},
ISSN = {0042-1316},
MRCLASS = {54A40 (01A60 03E72)},
MRNUMBER = {91a:54010},
MRREVIEWER = {Abd El-Sattar Dabbour},
note={English translation in Russian Math. Surveys 44 (1989), no. 6,
125--186},
}
@incollection {So91,
AUTHOR = {{\v{S}}ostak, Alexander P.},
TITLE = {Towards the concept of a fuzzy category},
BOOKTITLE = {Mathematics (Russian)},
PAGES = {85--94},
PUBLISHER = {Latv. Univ.},
ADDRESS = {Riga},
YEAR = {1991},
MRCLASS = {18A99 (04A72 54A40)},
MRNUMBER = {93h:18006},
}
@misc {So92,
AUTHOR = {{\v{S}}ostak, Alexander P.},
title={On a concept of a fuzzy category},
note={14th Linz Seminar on Fuzzy Set Theory: Non-Classical Logics
and Their Applications, Linz, Austria},
year={1992},
pages={63--66},
}
@article {So96,
AUTHOR = {{\v{S}}ostak, Alexander P.},
TITLE = {Basic structures of fuzzy topology},
JOURNAL = {J. Math. Sci.},
FJOURNAL = {Journal of Mathematical Sciences},
VOLUME = {78},
YEAR = {1996},
NUMBER = {6},
PAGES = {662--701},
ISSN = {1072-3374},
CODEN = {JMTSEW},
MRCLASS = {54A40},
MRNUMBER = {98d:54018},
}
@incollection {So97,
AUTHOR = {{\v{S}}ostak, Alexander P.},
title={Fuzzy categories versus categories of fuzzily structured sets:
Elements of the theory of fuzzy categories},
booktitle={Categorical Methods in Algebra and Topology (A collection of
papers in honor of Horst Herrlich), (Bremen, August 1997), Hans-E. Porst
ed.},
series={Mathematik-Arbeitspapiere},
number={48},
pages={407--438},
publisher={Universit\"at Bremen},
year={1997},
}
@article {So99,
AUTHOR = {{\v{S}}ostak, Alexander P.},
TITLE = {Fuzzy categories related to algebra and topology},
NOTE = {Fuzzy sets, Part I (Liptovsk\'y J\'an, 1998)},
JOURNAL = {Tatra Mt. Math. Publ.},
FJOURNAL = {Tatra Mountains Mathematical Publications},
VOLUME = {16},
YEAR = {1999},
NUMBER = {, part I},
PAGES = {159--185},
ISSN = {1210-3195},
MRCLASS = {18A05 (20N25 54A40)},
MRNUMBER = {1 725 294},
}
@incollection {So2000,
author = {{\v{S}}ostak, Alexander P.},
title={Fuzzy functions as morphisms in an extension of the category
$L$-TOP},
booktitle={CATMAT2000: Proc. Conf. Categorical Methods in Algebra and
Topology (Bremen 2000)},
publisher={Universit\"at Bremen},
year={2000},
pages={385--402},
number={54},
series={Mathematik-Arbeitspapiere},
}
@article {So2001,
AUTHOR = {{\v{S}}ostak, Alexander P.},
title={Fuzzy functions as morphisms in an extension of the category
${U}nif({L})$ of {H}utton ${L}$-uniform spaces},
journal={Vestn. Kyrg. Gos. Ped. Univ. Ser. Mat. Fiz. Inform.},
year={2001},
}