Addition and Subtraction of Interactive Fuzzy Numbers via Family of Joint Possibility Distributions

An estimate of a joint possibility distribution of two fuzzy numbers, based on fuzzy relations with a third fuzzy variable, is suggested. This leads to the operations of conditional addition and conditional multiplication, of interactive fuzzy numbers for which joint possibility distributions with a fuzzy variable are known.

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Holographic device for addition and subtraction of fuzzy numbers

10.1117/12.340082 ◽

1999 ◽

Author(s):

Alexander V. Pavlov ◽

A. V. Saharov

Keyword(s):

Fuzzy Numbers ◽

Addition And Subtraction ◽

Holographic Device

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Intuitionistic decagonal fuzzy number and its arithmetic operations

Journal of Management and Science ◽

10.26524/jms.2017.7 ◽

2017 ◽

Vol 7 (1) ◽

pp. 51-58

Author(s):

RAJKUMAR A ◽

JOSE PARVIN PRAVEENA N ◽

DHANUSH C

Keyword(s):

Fuzzy Number ◽

Fuzzy Numbers ◽

Accuracy Function ◽

Arithmetic Operations ◽

Numerical Examples ◽

Addition And Subtraction

This paper introduced a new conception Intuitionistic Decagonal fuzzy Number and defines fundamental arithmetic operations like addition, subtraction. Numerical examples for addition and subtraction between two Intuitionistic Decagonal fuzzy Numbers are given.Score function and accuracy function are also defined.

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Normal Approximations of the Arithmetic of Mixed Fuzzy Numbers

10.20944/preprints201710.0120.v1 ◽

2017 ◽

Author(s):

Yi-Fang Chen ◽

Hui-Chin Tang

Keyword(s):

Decision Making ◽

Group Decision Making ◽

Fuzzy Numbers ◽

Group Decision ◽

Sample Mean ◽

Normal Distributions ◽

Shortest Path Problems ◽

Normal Approximations ◽

Addition And Subtraction ◽

Fuzzy Group Decision Making

In fuzzy group decision making problems and fuzzy shortest path problems, the addition and subtraction are the basic problems. For the mixed normal fuzzy numbers and trapezoidal fuzzy numbers, the addition and subtraction operations are approximated by the normal fuzzy numbers in this paper. The behaviors of approximated normal fuzzy numbers are the same as those of the normal distributions from the viewpoint of probability. An application of the addition and subtraction operations of mixed fuzzy numbers to the fuzzy sample mean is also proposed.

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Generation of fuzzy numbers using maximum uncertainty possibility distributions

Proceedings of 1994 IEEE 3rd International Fuzzy Systems Conference ◽

10.1109/fuzzy.1994.343614 ◽

2002 ◽

Cited By ~ 2

Author(s):

S. Park ◽

C.S.G. Lee

Keyword(s):

Fuzzy Numbers ◽

Possibility Distributions

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Methodology of ECG Interpretation in the Padova Program

Methods of Information in Medicine ◽

10.1055/s-0038-1634804 ◽

1990 ◽

Vol 29 (04) ◽

pp. 386-392 ◽

Cited By ~ 12

Author(s):

R. Degani ◽

G. Bortolan

Keyword(s):

Decision Making ◽

Medical School ◽

Fuzzy Set ◽

Medical Knowledge ◽

Main Aspect ◽

Measurement Evaluation ◽

Possibility Distributions ◽

Linguistic Decision Making ◽

The University ◽

Ecg Interpretation

AbstractThe main lines ofthe program designed for the interpretation of ECGs, developed in Padova by LADSEB-CNR with the cooperation of the Medical School of the University of Padova are described. In particular, the strategies used for (i) morphology recognition, (ii) measurement evaluation, and (iii) linguistic decision making are illustrated. The main aspect which discerns this program in comparison with other approaches to computerized electrocardiography is its ability of managing the imprecision in both the measurements and the medical knowledge through the use of fuzzy-set methodologies. So-called possibility distributions are used to represent ill-defined parameters as well as threshold limits for diagnostic criteria. In this way, smooth conclusions are derived when the evidence does not support a crisp decision. The influence of the CSE project on the evolution of the Padova program is illustrated.

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