• Title/Summary/Keyword: equivalence relation

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G-FUZZY CONGRUENCES GENERATED BY COMPATIBLE FUZZY RELATIONS

  • Chon, Inheung
    • Korean Journal of Mathematics
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    • v.14 no.2
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    • pp.241-248
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    • 2006
  • We define a G-fuzzy congruence, which is a generalized fuzzy congruence, and characterize the G-fuzzy congruence generated by a left and right compatible fuzzy relation on a semigroup.

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A STUDY ON (∈, ∈ ∨ q)-FUZZY CONGRUENCE ON RING

  • N. PRADIPKUMAR;O. RATNABALA DEVI
    • Journal of applied mathematics & informatics
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    • v.42 no.4
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    • pp.801-818
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    • 2024
  • The purpose of this paper is to introduce the concept of (∈, ∈ ∨q)-fuzzy congruence relation over ring and discuss some properties of the (∈, ∈ ∨q)-fuzzy congruence relation. We also establish a brief relation between (∈, ∈ ∨q)-fuzzy ideal and (∈, ∈ ∨q)-fuzzy congruence relation. The image and preimage of (∈, ∈ ∨q)-fuzzy congruence are also studied under the so called semibalanced map.

The Classification of the Software Quality by the Rough Tolerance Class

  • Choi, Wan-Kyoo;Lee, Sung-Joo
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.4 no.2
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    • pp.249-253
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    • 2004
  • When we decide the software quality on the basis of the software measurement, the transitive property which is a requirement for an equivalence relation is not always satisfied. Therefore, we propose a scheme for classifying the software quality that employs a tolerance relation instead of an equivalence relation. Given the experimental data set, the proposed scheme generates the tolerant classes for elements in the experiment data set, and generates the tolerant ranges for classifying the software quality by clustering the means of the tolerance classes. Through the experiment, we showed that the proposed scheme could product very useful and valid results. That is, it has no problems that we use as the criteria for classifying the software quality the tolerant ranges generated by the proposed scheme.

Theoretical Study for Vehicle Applications of Electrically Heated Catalyst(EHC) (Electrically Heated Catalyst(EHC)의 실차 적용에 관한 이론적 연구)

  • 손건식;이용래;이귀영
    • Transactions of the Korean Society of Automotive Engineers
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    • v.5 no.3
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    • pp.15-26
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    • 1997
  • In this study, the theoretical investigation of the electrically heated catalyst(EHC) for vehicle application has been carried out using the thermal equivalence of EHC system and the data of vehicle tests to meet ultra low emission vehicle(ULEV) standard. To improve the efficiency of EHC system, it is necessary to understand relation between the power, the operating time and the conversion efficiency of EHC system. The relation was found with thermal equivalence of EHC system which considers the power supply to EHC, heat loss, chemical exothermic energy generated by oxidation reaction and net energy coming in via the exhaust gas. From this relation, the limits of needful power and operating time to meet the ULEV standard can be suggested, when the conversion efficiency of catalyst was known.

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GENERALIZED FUZZY CONGRUENCES ON SEMIGROUPS

  • Chon, Inheung
    • Korean Journal of Mathematics
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    • v.18 no.4
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    • pp.343-356
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    • 2010
  • We define a G-fuzzy congruence, which is a generalized fuzzy congruence, discuss some of its basic properties, and characterize the G-fuzzy congruence generated by a fuzzy relation on a semigroup. We also give certain lattice theoretic properties of G-fuzzy congruences on semigroups.

A study on the scores for right censored data

  • 박효일
    • Proceedings of the Korean Reliability Society Conference
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    • 2000.11a
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    • pp.363-363
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    • 2000
  • We derive an asymptotic relation between the scores for the censored and uncensored observations for the untied value case among uncensored observations. With this relation, we show that two types of the linear rank statistics which are based on any consistent estimates of the distribution function, are asymptotically equivalent. Also, we discuss another asymptotic equivalence considered by Cuzick (1985).

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