Formal Introduction to Fuzzy Implications

Adam Grabowski

Formalized Mathematics (2017)

  • Volume: 25, Issue: 3, page 241-248
  • ISSN: 1426-2630

Abstract

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In the article we present in the Mizar system the catalogue of nine basic fuzzy implications, used especially in the theory of fuzzy sets. This work is a continuation of the development of fuzzy sets in Mizar; it could be used to give a variety of more general operations, and also it could be a good starting point towards the formalization of fuzzy logic (together with t-norms and t-conorms, formalized previously).

How to cite

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Adam Grabowski. "Formal Introduction to Fuzzy Implications." Formalized Mathematics 25.3 (2017): 241-248. <http://eudml.org/doc/288549>.

@article{AdamGrabowski2017,
abstract = {In the article we present in the Mizar system the catalogue of nine basic fuzzy implications, used especially in the theory of fuzzy sets. This work is a continuation of the development of fuzzy sets in Mizar; it could be used to give a variety of more general operations, and also it could be a good starting point towards the formalization of fuzzy logic (together with t-norms and t-conorms, formalized previously).},
author = {Adam Grabowski},
journal = {Formalized Mathematics},
keywords = {fuzzy implication; fuzzy set; fuzzy logic},
language = {eng},
number = {3},
pages = {241-248},
title = {Formal Introduction to Fuzzy Implications},
url = {http://eudml.org/doc/288549},
volume = {25},
year = {2017},
}

TY - JOUR
AU - Adam Grabowski
TI - Formal Introduction to Fuzzy Implications
JO - Formalized Mathematics
PY - 2017
VL - 25
IS - 3
SP - 241
EP - 248
AB - In the article we present in the Mizar system the catalogue of nine basic fuzzy implications, used especially in the theory of fuzzy sets. This work is a continuation of the development of fuzzy sets in Mizar; it could be used to give a variety of more general operations, and also it could be a good starting point towards the formalization of fuzzy logic (together with t-norms and t-conorms, formalized previously).
LA - eng
KW - fuzzy implication; fuzzy set; fuzzy logic
UR - http://eudml.org/doc/288549
ER -

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