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CLC number: TP273

On-line Access: 2014-07-10

Received: 2013-08-15

Revision Accepted: 2013-10-30

Crosschecked: 2014-06-16

Cited: 2

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Journal of Zhejiang University SCIENCE C 2014 Vol.15 No.7 P.584-591


A framework for analysis of extended fuzzy logic

Author(s):  Farnaz Sabahi, M.-R. Akbarzadeh-T

Affiliation(s):  Center of Excellence on Soft Computing and Intelligent Information Processing, Department of Electrical Engineering, Ferdowsi University of Mashhad, Mashhad, Iran

Corresponding email(s):   farna.sabahi@stu-mail.um.ac.ir, akbarzadeh@ieee.org

Key Words:  Extended fuzzy logic, Fuzzy logic, f-Transformation, S-answer, Validity

Farnaz Sabahi, M.-R. Akbarzadeh-T. A framework for analysis of extended fuzzy logic[J]. Journal of Zhejiang University Science C, 2014, 15(7): 584-591.

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journal="Journal of Zhejiang University Science C",
publisher="Zhejiang University Press & Springer",

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%T A framework for analysis of extended fuzzy logic
%A Farnaz Sabahi
%A M.-R. Akbarzadeh-T
%J Journal of Zhejiang University SCIENCE C
%V 15
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%P 584-591
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%D 2014
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.C1300217

T1 - A framework for analysis of extended fuzzy logic
A1 - Farnaz Sabahi
A1 - M.-R. Akbarzadeh-T
J0 - Journal of Zhejiang University Science C
VL - 15
IS - 7
SP - 584
EP - 591
%@ 1869-1951
Y1 - 2014
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.C1300217

We address a framework for the analysis of fuzzy logic%29&ck%5B%5D=abstract&ck%5B%5D=keyword'>extended fuzzy logic (FLe) and elaborate mainly the key characteristics of FLe by proving several qualification theorems and proposing a new mathematical tool named the A-granule. Specifically, we reveal that within FLe a solution in the presence of incomplete information approaches the one gained by complete information. It is also proved that the answers and their validities have a structural isomorphism within the same context. This relationship is then used to prove the representation theorem that addresses the rationality of FLe-based reasoning. As a consequence of the developed theoretical description of FLe, we assert that in order to solve a problem, having complete information is not a critical need; however, with more information, the answers achieved become more specific. Furthermore, reasoning based on FLe has the advantage of being computationally less expensive in the analysis of a given problem and is faster.



Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


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