scholarly journals Optimum fuzzy based approach to improve the instrument’s performance affected by environmental conditions

2013 ◽  
Vol 10 (2) ◽  
pp. 309-318
Author(s):  
Avnesh Verma ◽  
Tiwari Anand
Keyword(s):  
Set Theory ◽  
Fuzzy Set ◽  
Environmental Conditions ◽  
Fuzzy Set Theory ◽  
Operating Conditions ◽  
Mathematical Tool ◽  
Optimal Operating ◽  
Independent Variables ◽  
Humidity Index ◽  
Two Independent Variables

The performance of instrument has been analyzed, considering the ideal conditions and results which have been obtained when the instrument is subjected to diversified combination of environmental conditions. A peerless analysis has been carried out of these environmental conditions using 'fuzzy set theory' as a mathematical tool. The results showed how the use of fuzzy set theory is adequate to analyze environmental conditions and is able to suggest the optimal operating conditions for performance of the instrument. In this analysis two independent variables temperature and relative humidity have been used, and based on these two independent variables a third dependent variable was defined namely temperature humidity index (THI). Based on THI, a set of fuzzy rules were established considering the influence of both independent variables. The results obtained without fuzzy experimentation according to the specification of instrument and results obtained with fuzzy analysis shown were quite comparable. The results obtained after fuzzification explicitly show that the operating instrument?s accuracy can be predicted by comparing with the THI zone and at the same time this research gives an insight for selection of nearest optimal operating condition for normal working of the instrument. It can be summarized that the abrupt variation in independent variables can make the instrument unstable and the fuzzy based approach is helpful in improving the overall instrument performance.

scholarly journals The basic arithmetic operations on fuzzy numbers and new approaches to the theory of fuzzy numbers under the classification of space images

2020 ◽  
Vol 3 ◽  
pp. 49-59
Author(s):  
S.I. Alpert ◽  
Keyword(s):  
Remote Sensing ◽  
Fuzzy Sets ◽  
Set Theory ◽  
Fuzzy Set ◽  
Fuzzy Set Theory ◽  
Fuzzy Numbers ◽  
Mathematical Tool ◽  
Classification Problems ◽  
Arithmetic Operations

Classification in remote sensing is a very difficult procedure, because it involves a lot of steps and data preprocessing. Fuzzy Set Theory plays a very important role in classification problems, because the fuzzy approach can capture the structure of the image. Most concepts are fuzzy in nature. Fuzzy sets allow to deal with uncertain and imprecise data. Many classification problems are formalized by using fuzzy concepts, because crisp classes represent an oversimplification of reality, leading to wrong results of classification. Fuzzy Set Theory is an important mathematical tool to process complex and fuzzy da-ta. This theory is suitable for high resolution remote sensing image classification. Fuzzy sets and fuzzy numbers are used to determine basic probability assignment. Fuzzy numbers are used for detection of the optimal number of clusters in Fuzzy Clustering Methods. Image is modeled as a fuzzy graph, when we represent the dissimilitude between pixels in some classification tasks. Fuzzy sets are also applied in different tasks of processing digital optical images. It was noted, that fuzzy sets play an important role in analysis of results of classification, when different agreement measures between the reference data and final classification are considered. In this work arithmetic operations of fuzzy numbers using alpha-cut method were considered. Addition, subtraction, multiplication, division of fuzzy numbers and square root of fuzzy number were described in this paper. Moreover, it was illustrated examples with different arithmetic operations of fuzzy numbers. Fuzzy Set Theory and fuzzy numbers can be applied for analysis and classification of hyperspectral satellite images, solving ecological tasks, vegetation clas-sification, in remote searching for minerals.

Present State of the Medical Expert System CADIAG-2

1985 ◽  
Vol 24 (01) ◽  
pp. 13-20 ◽  
Author(s):  
K.-P. Adlassnig ◽  
G. Kolarz ◽  
W. Scheithauer
Keyword(s):  
Expert System ◽  
Clinical Diagnosis ◽  
Set Theory ◽  
Fuzzy Set ◽  
Fuzzy Set Theory ◽  
Mathematical Tool ◽  
Diagnostic Systems ◽  
Medical Expert ◽  
Medical Expert System ◽  
Medical Diagnostic

SummaryUncertainty of knowledge about the patient and about medical relationships is generally accepted and considered to be an inherent concept in medicine. The physician, however, is quite capable of drawing conclusions from this information. Naturally, these conclusions are approximate rather than precise.Fuzzy set theory provides the possibility of defining imprecise medical entities as fuzzy sets. It offers a linguistic concept with excellent approximation to medical texts. In addition, fuzzy logic presents powerful reasoning methods that can handle approximate inferences. These facts make fuzzy set theory highly suitable for the development of computer-based medical diagnostic systems.The medical expert system CADIAG-2 provides evidence that fuzzy set theory is a suitable mathematical tool for formalizing medical processes.CADIAG-2/RHEUMA is being extensively tested on cases from a rheumatological hospital. Results from 327 cases are presented. In 265 cases, i.e. 81%, the clinical diagnosis could be either confirmed (223 cases, i.e. 68.2%) or established as a diagnostic hypothesis (42 cases, i.e. 12.8%).CADIAG-2/PANCREAS was tested on 47 cases of pancreatic diseases. In 43 cases, i.e. 91.5%, the clinical diagnosis was either confirmed by CADIAG-2 or established as one of the hypotheses with the highest or second highest number of points in a ranked list of hypotheses.

PREVENTIVE MAINTENANCE SCHEDULING FOR A SYSTEM WITH ASSURED RELIABILITY USING FUZZY SET THEORY

1994 ◽  
Vol 01 (04) ◽  
pp. 497-513 ◽  
Author(s):  
P.V. SURESH ◽  
DIPAK CHAUDHURI
Keyword(s):  
Fuzzy Sets ◽  
Set Theory ◽  
Fuzzy Set ◽  
Fuzzy Set Theory ◽  
Preventive Maintenance ◽  
Operating Conditions ◽  
Maintenance Scheduling ◽  
Linguistic Variables ◽  
Operating Condition ◽  
Starting Condition

Preventive maintenance of any system should depend on its starting, ending and operating conditions. Systems working with a minimum permissible reliability should be maintained at predetermined points to ensure its reliability do not fall below the permissible level. For any period, the starting condition of a system and the operating condition can be specified using fuzzy sets. Since the condition of the system at the end of a period depends on its starting condition and the operating condition during the period, linguistic variables are also required to specify it. This paper describes how to select periods of maintenance and the types of maintenance for such a system. The model utilizes the fuzzy set theory to determine the period length and the type of maintenance.

scholarly journals DEVELOPING A NEW APPROACH FOR EVALUATION OF BUSINESS PROCESSES IN A FUZZY ENVIRONMENT

2016 ◽  
Vol 22 (6) ◽  
pp. 783-807
Author(s):  
Ghasem BAGHERZADEH ◽  
Kaveh M. CYRUS ◽  
Abdolreza YAZDANI-CHAMZINI ◽  
Algita MIEČINSKIENĖ
Keyword(s):  
Set Theory ◽  
Fuzzy Set ◽  
Fuzzy Set Theory ◽  
Business Processes ◽  
Mathematical Tool ◽  
Software Environment ◽  
Effective Components ◽  
Operational Variables ◽  
Major Factors ◽  
Available Information

Evaluation of business processes plays a significant role in business development and improvement. Therefore, organizations need a systematic approach to evaluate all the changes through robust and powerful techniques that can formulate the relationship between the available information and the degree of the inherent uncertainty. In this paper, a set of operational variables are defined. Then, the SPSS software package is utilized to validate the gathered data. After that, the variables are categorized by the use of a clustering technique. Finally, five major factors are determined as the most effective components. According to the inherent uncertainty involved in the process of modelling, fuzzy set theory, a powerful mathematical tool is applied to handle the vagueness. In order to construct a knowledge base based on the fuzzy set theory, the linguistic concepts for each variable are defined. Lastly, membership functions are described and a set of fuzzy rules based on input-output parameters are written in MATLAB software environment. To demonstrate the potential application of the proposed approach, a real case study is illustrated. The results reflect the capability and effectiveness of the approach proposed in this paper.

Estimating construction waste generation in residential buildings: A fuzzy set theory approach in the Brazilian Amazon

2020 ◽  
Vol 265 ◽  
pp. 121779 ◽  
Author(s):  
Luiz Maurício Furtado Maués ◽  
Brisa do Mar Oliveira do Nascimento ◽  
Weisheng Lu ◽  
Fan Xue
Keyword(s):  
Set Theory ◽  
Fuzzy Set ◽  
Fuzzy Set Theory ◽  
Residential Buildings ◽  
Brazilian Amazon ◽  
Theory Approach ◽  
Waste Generation ◽  
Construction Waste

On soft set-valued maps and integral inclusions

2021 ◽  
pp. 1-15
Author(s):  
Monairah Alansari ◽  
Shehu Shagari Mohammed ◽  
Akbar Azam
Keyword(s):  
Fixed Point ◽  
Set Theory ◽  
Fuzzy Set Theory ◽  
Fixed Point Theorems ◽  
Soft Set ◽  
Mathematical Tool ◽  
Multivalued Maps ◽  
Soft Sets ◽  
Special Cases ◽  
New Development

As an improvement of fuzzy set theory, the notion of soft set was initiated as a general mathematical tool for handling phenomena with nonstatistical uncertainties. Recently, a novel idea of set-valued maps whose range set lies in a family of soft sets was inaugurated as a significant refinement of fuzzy mappings and classical multifunctions as well as their corresponding fixed point theorems. Following this new development, in this paper, the concepts of e-continuity and E-continuity of soft set-valued maps and αe-admissibility for a pair of such maps are introduced. Thereafter, we present some generalized quasi-contractions and prove the existence of e-soft fixed points of a pair of the newly defined non-crisp multivalued maps. The hypotheses and usability of these results are supported by nontrivial examples and applications to a system of integral inclusions. The established concepts herein complement several fixed point theorems in the framework of point-to-set-valued maps in the comparable literature. A few of these special cases of our results are highlighted and discussed.

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