A mathematical model of uncertain information

1991 ◽  
pp. 58-64
Author(s):  
Chun-Hung Tzeng
Keyword(s):  
Mathematical Model ◽  
Uncertain Information

scholarly journals Use of Fuzzy Matrices for the Diagnosis of Diabetes, Anaemia and Hypertension

2020 ◽  
Vol 8 (2) ◽  
Author(s):  
Rajeev Sapre ◽  
Muktai Desai ◽  
Mugdha Pokharanakar
Keyword(s):  
Mathematical Model ◽  
Real Life ◽  
Medical Knowledge ◽  
Medical Documentation ◽  
Diagnostic Process ◽  
Uncertain Information ◽  
Fuzzy Relations ◽  
Degree Of Confidence ◽  
User Friendly ◽  
The Mathematical Model

The mathematical model presented here aims to enhance the precision in diagnostic process of diabetes, anaemia and hypertension by means of fuzzy interface. In real life, the imprecise nature of medical documentation and uncertain information provided by patients often do not give the desired degree of confidence to the diagnosis. To that end using the capability of fuzzy logic in representing, interpreting and utilizing data and information that are vague and lack certainty, a new algorithm based on different fuzzy matrices and fuzzy relations is developed. In the process a medical knowledge base is developed with the help of 51 doctors. The model achieved 94.44% accuracy in the diagnosis, which shows its usefulness. To implement this model-based diagnosis procedure a user-friendly Excel program is designed.  

scholarly journals Markov chain based on neutrosophic numbers in decision making

2021 ◽  
Vol 48 (4) ◽  
Author(s):  
Kuppuswami Govindan ◽  
◽  
Sujatha Ramalingam ◽  
Nagarajan Deivanayagampillai ◽  
Said Broumi ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Decision Making ◽  
Markov Chain ◽  
Stochastic Model ◽  
Uncertain Information ◽  
New Approach ◽  
Fuzzy Environment ◽  
Future Behavior ◽  
Construction Type ◽  
Fuzzy Probabilities

Markov chain is a stochastic model for estimating the equilibrium of any system. It is a unique mathematical model in which the future behavior of the system depends only on the present. Often biased possibilities can be used over biased probabilities, for handling uncertain information to define Markov chain using fuzzy environment. Indeterminacy is different from randomness due to its construction type where the items involved in the space are true and false in the same time. In this context as an extension of conventional and fuzzy probabilities neutrosophic probability (NP) was introduced. These neutrosophic probabilities can be captured as neutrosophic numbers. In this paper, Markov chain based on neutrosophic numbers is introduced and a new approach to the ergoticity for the traffic states in the neutrosophic Markov chain based on neutrosophic numbers is verified. The proposed approach is applied to decision-making in the prediction of traffic volume.

Mathematical model of hit phenomena and its application to movie advertisement

2008 ◽  
Author(s):  
Ishii Akira ◽  
Yoshida Narihiko ◽  
Hayashi Takafumi ◽  
Umemura Sanae ◽  
Nakagawa Takeshi
Keyword(s):  
Mathematical Model

A MATHEMATICAL MODEL FOR PARTICLE CLASSIFICATION

1988 ◽  
Vol 8 (2) ◽  
pp. 133-144 ◽  
Author(s):  
Chunxuan Jiang
Keyword(s):  
Mathematical Model ◽  
Particle Classification

Imprecision of Laboratory Determinations and Diagnostic Accuracy: Theoretical Considerations

1974 ◽  
Vol 13 (03) ◽  
pp. 151-158 ◽  
Author(s):  
D. A. B. Lindbebo ◽  
Fr. R. Watson
Keyword(s):  
Mathematical Model ◽  
Diagnostic Accuracy ◽  
Diagnostic Process ◽  
Clinical Laboratories ◽  
Non Linear ◽  
Theoretical Considerations ◽  
Made In

Recent studies suggest the determinations of clinical laboratories must be made more precise than at present. This paper presents a means of examining benefits of improvement in precision. To do this we use a mathematical model of the effect upon the diagnostic process of imprecision in measurements and the influence upon these two of Importance of Diagnosis and Prevalence of Disease. The interaction of these effects is grossly non-linear. There is therefore no proper intuitive answer to questions involving these matters. The effects can always, however, be calculated.Including a great many assumptions the modeling suggests that improvements in precision of any determination ought probably to be made in hospital rather than screening laboratories, unless Importance of Diagnosis is extremely high.

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