Evaluation of fuzzy quantified expressions

Anca L. Ralescu; Dan A. Ralescu; Kaoru Hirota

doi:10.1007/bfb0095082

Evaluation of fuzzy quantified expressions

Anca L. Ralescu, Dan A. Ralescu, Kaoru Hirota

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

6 Citations (Scopus)

Abstract

We present a fuzzy logic based quantitative treatment for expressions containing quantifiers. For this we develop an evaluation procedure for the truth value of expressions of the form Qx ⋴ X, p(x) where Qx ⋴ X is a quantifier and p is a predicate defined on X. This procedure is consistent, in the sense that it can be applied uniformly regardless of the type (exact or imprecise) of the quantifier and/or predicate used.

Original language	English
Title of host publication	Fuzzy Logic in Artificial Intelligence - IJCAI 1997 Workshop, Selected and Invited Papers
Editors	Anca L. Ralescu, Anca L. Ralescu, James G. Shanahan
Publisher	Springer Verlag
Pages	234-244
Number of pages	11
ISBN (Print)	3540663746, 9783540663744
DOIs	https://doi.org/10.1007/bfb0095082
Publication status	Published - 1999
Externally published	Yes
Event	Fuzzy Logic in Artificial Intelligence Workshop held in conjunction with International Joint Conference on Artificial Intelligence, IJCAI 1997 - Nagoya, Japan Duration: 23 Aug 1997 → 24 Aug 1997

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	1566
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	Fuzzy Logic in Artificial Intelligence Workshop held in conjunction with International Joint Conference on Artificial Intelligence, IJCAI 1997
Country/Territory	Japan
City	Nagoya
Period	23/08/97 → 24/08/97

Keywords

Fuzzy cardinality
Fuzzy quantifiers
Truth value

Access to Document

10.1007/bfb0095082

Cite this

Ralescu, A. L., Ralescu, D. A., & Hirota, K. (1999). Evaluation of fuzzy quantified expressions. In A. L. Ralescu, A. L. Ralescu, & J. G. Shanahan (Eds.), Fuzzy Logic in Artificial Intelligence - IJCAI 1997 Workshop, Selected and Invited Papers (pp. 234-244). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 1566). Springer Verlag. https://doi.org/10.1007/bfb0095082

Ralescu, Anca L. ; Ralescu, Dan A. ; Hirota, Kaoru. / Evaluation of fuzzy quantified expressions. Fuzzy Logic in Artificial Intelligence - IJCAI 1997 Workshop, Selected and Invited Papers. editor / Anca L. Ralescu ; Anca L. Ralescu ; James G. Shanahan. Springer Verlag, 1999. pp. 234-244 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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title = "Evaluation of fuzzy quantified expressions",

abstract = "We present a fuzzy logic based quantitative treatment for expressions containing quantifiers. For this we develop an evaluation procedure for the truth value of expressions of the form Qx ⋴ X, p(x) where Qx ⋴ X is a quantifier and p is a predicate defined on X. This procedure is consistent, in the sense that it can be applied uniformly regardless of the type (exact or imprecise) of the quantifier and/or predicate used.",

keywords = "Fuzzy cardinality, Fuzzy quantifiers, Truth value",

author = "Ralescu, {Anca L.} and Ralescu, {Dan A.} and Kaoru Hirota",

note = "Publisher Copyright: {\textcopyright} Springer-Verlag Berlin Heidelberg 1999.; Fuzzy Logic in Artificial Intelligence Workshop held in conjunction with International Joint Conference on Artificial Intelligence, IJCAI 1997 ; Conference date: 23-08-1997 Through 24-08-1997",

year = "1999",

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series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

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Ralescu, AL, Ralescu, DA & Hirota, K 1999, Evaluation of fuzzy quantified expressions. in AL Ralescu, AL Ralescu & JG Shanahan (eds), Fuzzy Logic in Artificial Intelligence - IJCAI 1997 Workshop, Selected and Invited Papers. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 1566, Springer Verlag, pp. 234-244, Fuzzy Logic in Artificial Intelligence Workshop held in conjunction with International Joint Conference on Artificial Intelligence, IJCAI 1997, Nagoya, Japan, 23/08/97. https://doi.org/10.1007/bfb0095082

Evaluation of fuzzy quantified expressions. / Ralescu, Anca L.; Ralescu, Dan A.; Hirota, Kaoru.
Fuzzy Logic in Artificial Intelligence - IJCAI 1997 Workshop, Selected and Invited Papers. ed. / Anca L. Ralescu; Anca L. Ralescu; James G. Shanahan. Springer Verlag, 1999. p. 234-244 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 1566).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Evaluation of fuzzy quantified expressions

AU - Ralescu, Anca L.

AU - Ralescu, Dan A.

AU - Hirota, Kaoru

N1 - Publisher Copyright: © Springer-Verlag Berlin Heidelberg 1999.

PY - 1999

Y1 - 1999

N2 - We present a fuzzy logic based quantitative treatment for expressions containing quantifiers. For this we develop an evaluation procedure for the truth value of expressions of the form Qx ⋴ X, p(x) where Qx ⋴ X is a quantifier and p is a predicate defined on X. This procedure is consistent, in the sense that it can be applied uniformly regardless of the type (exact or imprecise) of the quantifier and/or predicate used.

AB - We present a fuzzy logic based quantitative treatment for expressions containing quantifiers. For this we develop an evaluation procedure for the truth value of expressions of the form Qx ⋴ X, p(x) where Qx ⋴ X is a quantifier and p is a predicate defined on X. This procedure is consistent, in the sense that it can be applied uniformly regardless of the type (exact or imprecise) of the quantifier and/or predicate used.

KW - Fuzzy cardinality

KW - Fuzzy quantifiers

KW - Truth value

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U2 - 10.1007/bfb0095082

DO - 10.1007/bfb0095082

M3 - Conference contribution

AN - SCOPUS:84949478646

SN - 3540663746

SN - 9783540663744

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 234

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BT - Fuzzy Logic in Artificial Intelligence - IJCAI 1997 Workshop, Selected and Invited Papers

A2 - Ralescu, Anca L.

A2 - Shanahan, James G.

PB - Springer Verlag

T2 - Fuzzy Logic in Artificial Intelligence Workshop held in conjunction with International Joint Conference on Artificial Intelligence, IJCAI 1997

Y2 - 23 August 1997 through 24 August 1997

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Ralescu AL, Ralescu DA, Hirota K. Evaluation of fuzzy quantified expressions. In Ralescu AL, Ralescu AL, Shanahan JG, editors, Fuzzy Logic in Artificial Intelligence - IJCAI 1997 Workshop, Selected and Invited Papers. Springer Verlag. 1999. p. 234-244. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/bfb0095082

Evaluation of fuzzy quantified expressions

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Keywords

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