• Title/Summary/Keyword: Fuzzy quantity

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AN ECONOMIC PRODUCTION QUANTITY INVENTORY MODEL INVOLVING FUZZY DEMAND RATE AND FUZZY DETERIORATION RATE

  • De, Sujit-Kumar;A. Goswami;P.K. Kundu
    • Journal of applied mathematics & informatics
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    • v.12 no.1_2
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    • pp.251-260
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    • 2003
  • Generally, in deriving the solution of economic production quantity (EPQ) inventory model, we consider the demand rate and deterioration rate as constant quantity. But in case of real life problems, the demand rate and deterioration rate are not actually constant but slightly disturbed from their original crisp value. The motivation of this paper is to consider a more realistic EPQ inventory model with finite production rate, fuzzy demand rate and fuzzy deterioration rate. The effect of the loss in production quantity due to faulty/old machine have also been taken into consideration. The methodology to obtain the optimum value of the fuzzy total cost is derived and a numerical example is used to illustrate the computation procedure. A sensitivity analysis is also carried out to get the sensitiveness of the tolarance of different input parameters.

Implemented Circuits of Fuzzy Inference Engine for Servo Control by using Decomposition of $\alpha$-Level Set ($\alpha$-레벨 집합 분해에 의한 서보제어용 퍼지추론 연산회로 구현)

  • Hong Jeng-pyo;Hong Soon-ill
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.54 no.2
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    • pp.90-96
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    • 2005
  • This paper presents hardware scheme of fuzzy inference engine, based on α-level set decomposition of fuzzy sets for fuzzy control of DC servo system. We propose a method which is directly converted to PWM actuating signal by a one body of fuzzy inference and defuzzification. The influence of quantity α-levels on input/output characteristics of fuzzy controller and output response of DC servo system is investigated. It is concluded that quantity α-cut 4 give a sufficient result for fuzzy control performance of DC servo system. The experimental results shows that the proposed hardware method is effective for practical applications of DC servo system.

A Study on the Fuzzy Maximal Flow using Interger (정수를 이용한 퍼지최대흐름에 관한 연구)

  • 신재환;김창은;심종칠
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.17 no.32
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    • pp.7-16
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    • 1994
  • In the existing deterministic network, the capacity of each arc has determined property. But actually, it may be a property which cannot be determined. Even though it should be determining, it contains many errors. In treating these kinds of problems, fuzzy theory is suitable. Recently, due to development the study on complicated and indefinited systems which contain fuzziness could be possible. This paper includes that the capacity of each arc and the goal quantity with nonnegative integer have the fuzziness. The object is to search the new mathod of fuzzy maximal flow quantity. If the degree of arc membership function of the minimal cut part is not larger than that of arc membership function of the part except the minimal cut, first calcurate nonfuzzy maximal flow quantity, and then can compute the optimal quantity the 3rd step at one time with Max-Min fuzzy operating in the arc capacity of minimal cut and the goal quantity without a great number of recalculation.

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OPTIMIZATION OF STOCK MANAGEMENT SYSTEM WITH DEFICIENCIES THROUGH FUZZY RATIONALE WITH SIGNED DISTANCE METHOD IN SEABORN PROGRAMING TOOL

  • K. KALAIARASI;N. SINDHUJA
    • Journal of applied mathematics & informatics
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    • v.42 no.2
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    • pp.379-390
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    • 2024
  • This study proposes a fuzzy inventory model for managing large-scale production, incorporating cost considerations. The model accounts for two types of expenditure scenarios-parametric and exponential. Uncertainty surrounds holding costs, setup costs, and demand rates. The approach considers a supply chain system with a complex manufacturing process, factoring in transportation costs based on the quantity of goods and distance between the supplier and retailer. The initial crisp model is then transformed into a fuzzy simulation, incorporating specific fuzzy variables affecting inventory costs. The proposed method significantly reduces overall inventory costs for the entire supply chain. Retailer demand is linked to inventory levels, and vendor/distributor storage deteriorates over time. The fuzzy condition assumes hexagonal variables for all associated factors. The study employs the signed distance method for defuzzification to determine the optimal order quantity with hexagonal fuzzy numbers. Mathematical examples are provided to illustrate the practicality of the proposed approach.

A Study on The Fuzzy Maximal Flow (퍼지최대흐름에 관한 연구)

  • Sin Jae-Hwan;Kim U-Yeol
    • Journal of the military operations research society of Korea
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    • v.18 no.2
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    • pp.56-65
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    • 1992
  • In the existing deterministic network, the capacity of each arc has been assumed to have a determined property. In reality it may have a property which cannot be determined, and even if it is determined, it contains many errors. Fuzzy theory is efficient in dealing with these kinds of properties. The object of this study is to show that the capacity of each arc and the goal quantity have fuzziness and to develop a new method of determining the fuzzy maximal flow quantity.

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Fuzzy Sensor Algorithm for Measuring Traffic Information using Analytic Hierarchy Process (계층 분석방법을 이용한 교통량검지를 위한 퍼지센서 알고리즘)

  • Jin, Hyun-Soo
    • Journal of the Korean Institute of Intelligent Systems
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    • v.12 no.3
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    • pp.193-201
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    • 2002
  • For measuring a traffic symbolic confusion Quantity and symbolic air pleasantness, we use fuzzy sensor algorithm maded by symbolic information Quantity. Hut for implementation of fuzzy sensor, we use some symbolic information item, this method cannot produce precise output because we use vague fuzzy rule method and we cannot abundance fuzzy for precision of fuzzy rule method. For this reason, this paper introduce new fuzzy sensor algorithm composed of not fuzzy rule method but using Analytic Hierachy Process. To prove that new method is good, two type of fuzzy sensor applied to traffic signal controller and through much passing vehicle, two fuzzy sensor compared each other.

FIXED POINT THEOREMS FOR GENERALIZED CONTRACTIVE FUZZY MAPPINGS

  • Jeong, Jae-Ug
    • Journal of applied mathematics & informatics
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    • v.9 no.1
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    • pp.433-440
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    • 2002
  • In this paper, we first prove the existence of fixed points for fuzzy mappings that satisfy a certain contractive condition. Also, we give a fixed point theorem for generalized contractive fuzzy mapping by using Caristi's by fixed point theorem.

A Design of Artificial based Traffic Control System using Artificial Analytic Hierachy Process (인공지능기반 AHP를 이용한 교통제어기 설계)

  • Jin, Hyun-Soo
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2005.11a
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    • pp.448-451
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    • 2005
  • For measuring a traffic symbolic confusion quantity and symbolic air pleasantness, we use fuzzy sensor algorithm maded by symbolic information quantity. But for implementation of fuzzy sensor, we use some symbolic information item, this method cannot produce precise output because we use vague fuzzy rule method and we cannot abundance fuzzy for precision of fuzzy rule method. For this reason this paper introduce new fuzzy sensor algorithm composed of not fuzzy rule method but using Analytic Hierachy Process. To prove that new method is good, two type of fuzzy sensor applied to traffic signal controller and through much passing vehicle, two fuzzy sensor compared each other.

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Distributivity of fuzzy numbers under t-norm based fuzzy arithmetic operations

  • Hong, Dug-Hun
    • Journal of the Korean Data and Information Science Society
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    • v.14 no.1
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    • pp.93-101
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    • 2003
  • Computation with fuzzy numbers is a prospective branch of a fuzzy set theory regarding the data processing applications. In this paper we consider an open problem about distributivity of fuzzy quantities based on the extension principle suggested by Mare (1997). Indeed, we show that the distributivity on the class of fuzzy numbers holds and min-norm is the only continuous t-norm which holds the distributivity under t-norm based fuzzy arithmetic operations.

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Distributivity of fuzzy numbers

  • Hong, Dug-Hun
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2002.12a
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    • pp.22-24
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    • 2002
  • Computation with fuzzy numbers is a prospective branch of a fuzzy set theory regarding the data processing applications. In this paper we consider an open problem about distributivity of fuzzy Quantities based on the extension principle suggested by Mares (1997). Indeed, we show that the distributivity on the class of fuzzy numbers holds and min-norm is the only continuous f-norm which holds the distributivity under f-norm based fuzzy arithmetic operations.