Approximation Spacesin Non-commutative Generalizations of M V -algebras

Jiří RACHŮNEK; Dana ŠALOUNOVÁ

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2015)

  • Volume: 54, Issue: 2, page 83-92
  • ISSN: 0231-9721

Abstract

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Generalized MV-algebras (= GMV-algebras) are non-commutative generalizations of MV-algebras. They are an algebraic counterpart of the non-commutative Łukasiewicz infinite valued fuzzy logic. The paper investigates approximation spaces in GMV-algebras based on their normal ideals.

How to cite

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RACHŮNEK, Jiří, and ŠALOUNOVÁ, Dana. "Approximation Spacesin Non-commutative Generalizations of $MV$-algebras." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 54.2 (2015): 83-92. <http://eudml.org/doc/276065>.

@article{RACHŮNEK2015,
abstract = {Generalized MV-algebras (= GMV-algebras) are non-commutative generalizations of MV-algebras. They are an algebraic counterpart of the non-commutative Łukasiewicz infinite valued fuzzy logic. The paper investigates approximation spaces in GMV-algebras based on their normal ideals.},
author = {RACHŮNEK, Jiří, ŠALOUNOVÁ, Dana},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {MV-algebra; GMV-algebra; rough set; approximation space; normal ideal; congruence},
language = {eng},
number = {2},
pages = {83-92},
publisher = {Palacký University Olomouc},
title = {Approximation Spacesin Non-commutative Generalizations of $MV$-algebras},
url = {http://eudml.org/doc/276065},
volume = {54},
year = {2015},
}

TY - JOUR
AU - RACHŮNEK, Jiří
AU - ŠALOUNOVÁ, Dana
TI - Approximation Spacesin Non-commutative Generalizations of $MV$-algebras
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2015
PB - Palacký University Olomouc
VL - 54
IS - 2
SP - 83
EP - 92
AB - Generalized MV-algebras (= GMV-algebras) are non-commutative generalizations of MV-algebras. They are an algebraic counterpart of the non-commutative Łukasiewicz infinite valued fuzzy logic. The paper investigates approximation spaces in GMV-algebras based on their normal ideals.
LA - eng
KW - MV-algebra; GMV-algebra; rough set; approximation space; normal ideal; congruence
UR - http://eudml.org/doc/276065
ER -

References

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