• Title/Summary/Keyword: Addition principle

Search Result 971, Processing Time 0.024 seconds

THE GENERALIZED TRIANGULAR FUZZY SETS

  • Yun, Yong Sik;Ryu, Sang Uk;Park, Jin Won
    • Journal of the Chungcheong Mathematical Society
    • /
    • v.22 no.2
    • /
    • pp.161-170
    • /
    • 2009
  • For various fuzzy numbers, many operations have been calculated. We generalize about triangular fuzzy number and calculate four operations based on the Zadeh's extension principle, addition A(+)B, subtraction A(-)B, multiplication A(${\cdot}$)B and division A(/)B for two generalized triangular fuzzy sets.

  • PDF

Stability Proof of NFL-FOO/SMC : Part 1 (NFL-FOO/SMC의 안정도 증명 : Part 1)

  • Lee, Sang-Seung;Park, Jong-Keun;Lee, Ju-Jang
    • Proceedings of the KIEE Conference
    • /
    • 1998.07c
    • /
    • pp.973-975
    • /
    • 1998
  • For a nonlinear feedback linearization-full order observer/sliding mode controller (NFL-FOO/SMC), the separation principle is derived, and the closed-loop stability is proved by a Lyapunov function candidate using an addition form of the sliding surface vector and the estimation error.

  • PDF

Stability Proof of NFL-O/SMMFC : Part 3 (NFL-O/SMMFC의 안정도 증명 : Part 3)

  • Lee, Sang-Seung;Park, Jong-Keun;Lee, Ju-Jang
    • Proceedings of the KIEE Conference
    • /
    • 1998.07c
    • /
    • pp.979-981
    • /
    • 1998
  • This paper presents a stability proof for the nonlinear feedback linearization-observer/sliding mode model following controller (NFL-O/SMMFC). The separation principle is derived, and the closed-loop stability is proved by a Lyapunov function candidate using an addition form of the sliding surface vector and the estimation error.

  • PDF

THE GENERALIZED TRAPEZOIDAL FUZZY SETS

  • Lee, BongJu;Yun, Yong Sik
    • Journal of the Chungcheong Mathematical Society
    • /
    • v.24 no.2
    • /
    • pp.253-266
    • /
    • 2011
  • We would like to generalize about trapezoidal fuzzy set and to calculate four operations based on the Zadeh's extension principle for two generalized trapezoidal fuzzy sets. And we roll up triangular fuzzy numbers and generalized triangular fuzzy sets into it. Since triangular fuzzy numbers and generalized triangular fuzzy sets are generalized trapezoidal fuzzy sets, we need no more the separate painstaking calculations of addition, subtraction, multiplication and division for two such kinds once the operations are done for generalized trapezoidal fuzzy sets.

A Case Study on the Application of 'Conservation First Development Later' Principle for the Development Projects in Jeju Area (제주도 개발사업의 '선보전 후개발' 원칙 적용 사례분석)

  • Cho, Eun-Il;Hu, Chul-Goo
    • Journal of Environmental Science International
    • /
    • v.23 no.1
    • /
    • pp.113-128
    • /
    • 2014
  • Jeju Special Self-Governing Province has the natural assets resulting in UNESCO World Biosphere Reserve, World Heritage Listed and World Geopark Certification, so the principle of 'Conservation First Development Later' has been set up for the vision of environmental policy to preserve these assets. This case study has been carried out to investigate the realization of the principle of 'Conservation First Development Later' for the development projects performed environmental impact assessment from 1994 to 2012 in Jeju Province, using geographic information systems(GIS). The Jeju Province has its own ordinance to consult and operate an environmental impact assessment(EIA) system. In particular, the conservation area, such as, Absolute/Relative Conservation Area and Underground Water, Ecosystem and View Conservation Zone, has been assigned and managed specially to conserve the natural environment. The 179 projects has been performed EIA for last 18 years in Jeju Province, and then the Absolute Conservation Area has been included in 22 projects and the Relative Conservation Area has been included in 34 projects. However, the 2 projects only have included the Absolute Conservation Area for 7 years after 2005. This result suggests that the application of the principle for the Absolute Conservation Area is strengthened gradually. On the other hand, the 17 projects and the 24 projects have included the Underground Water Conservation Zone assigned grade 1 and 2, respectively, and the number has been increasing after 2004. The results show that it needs to strengthen the application of the principle for this Zone. And the Ecosystem Conservation Zone assigned grade 1 and 2 have been included in 1 project and 9 projects, respectively. It is considered from this result that the principle is realized successfully for the Ecosystem Conservation Zone. In addition, it could be known that the principle is applied well for the View Conservation Zone, in this study.

A study on the historico-genetic principle revealed in Clairaut's (Clairaut의 <기하학 원론>에 나타난 역사발생적 원리에 대한 고찰)

  • 장혜원
    • Journal of Educational Research in Mathematics
    • /
    • v.13 no.3
    • /
    • pp.351-364
    • /
    • 2003
  • by A.C. Clairaut is the first geometry textbook based on the historico-genetic principle against the logico-deduction method of Euclid's This paper aims to recognize Clairaut's historico-genetic principle by inquiring into this book and to search for its applications to school mathematics. For this purpose, we induce the following five characteristics that result from his principle and give some suggestions for school geometry in relation to these characteristics respectively : 1. The appearance of geometry is due to the necessity. 2. He approaches to the geometry through solving real-world problems.- the application of mathematics 3. He adopts natural methods for beginners.-the harmony of intuition and logic 4. He makes beginners to grasp the principles. 5. The activity principle is embodied. In addition, we analyze the two useful propositions that may prove these characteristics properly.

  • PDF

Weighted average of fuzzy numbers under TW(the weakest t-norm)-based fuzzy arithmetic operations

  • Hong, Dug-Hun;Kim, Kyung-Tae
    • International Journal of Fuzzy Logic and Intelligent Systems
    • /
    • v.7 no.1
    • /
    • pp.85-89
    • /
    • 2007
  • Many authors considered the computational aspect of sup-min convolution when applied to weighted average operations. They used a computational algorithm based on a-cut representation of fuzzy sets, nonlinear programming implementation of the extension principle, and interval analysis. It is well known that $T_W$(the weakest t-norm)-based addition and multiplication preserve the shape of L-R type fuzzy numbers. In this paper, we consider the computational aspect of the extension principle by the use of $T_W$ when the principle is applied to fuzzy weighted average operations. We give the exact solution for the case where variables and coefficients are L-L fuzzy numbers without programming or the aid of computer resources.

A Study on the Dwelling Principle of Indian Community and Space of Housing in North America - Focused on Powhatan Indian Community in U. S. A. - (북미 인디안 커뮤니티의 구성원리와 주거공간에 관한 연구 - 미국동부 포우하탄 인디언 커뮤니티를 중심으로 -)

  • Chong, Geon Chai
    • Journal of the Korean Institute of Rural Architecture
    • /
    • v.14 no.4
    • /
    • pp.11-18
    • /
    • 2012
  • This study is to establish the dwelling principle and architectural characteristics of Powhatan Indian Community in Eastern part of North America. To find a pattern and dwelling principle of town building and housing, I have researched both site survey of Powhatan at Jamestown Settlement in Virginia and a related references of North America Indian. In addition of study, I have tried to understand their life style in 17C, a spatial characteristics of space composition, and a using materials of Yehakin which means Powhatan's house in the exhibition hall of Jamestown Settlement. The results of this paper are as follows: First, the form of Powhatan house is like a longhouse which has two types that are oblong and rectangular house. Usually they had lived in the style of oblong house. Second, there are three patterns to set up the semi-permanent settlement of Powhatan, which are circle-type, street-type, and free-type of village. Third, the fire place of interior space that is most importance element to heat and cook is put it into the center of room, and the other beds and shelves are arranged by the side of wall which is covered of rush matt.

Heat Transfer Analysis of Cylindrical Asphalt Specimen using DEM (DEM을 이용한 아스팔트 혼합물의 열전도 예측)

  • Yun, Taeyoung
    • International Journal of Highway Engineering
    • /
    • v.19 no.4
    • /
    • pp.37-44
    • /
    • 2017
  • PURPOSES : Conductive and convective heat transfer simulations for an asphalt mixture were made by using discrete element method (DEM) and similarity principle. METHODS : In this research, virtual specimens composed of discrete element method particles were generated according to four different predetermined particle size distribution curves. Temperature variations of the four different particles for a given condition were estimated and were compared with measurements and analytical solutions. RESULTS : The virtual specimen with mixed particles and with the smallest particle show very good agreement with laboratory test results and analytical solutions. As particle size decreases, better heat transfer simulation can be performed due to smaller void ratio and more contact points and areas. In addition, by utilizing the similarity principle of thermal properties and corresponding time unit, analytical time can be drastically reduced. CONCLUSIONS : It is concluded that the DEM asphalt mixture specimens with similarity principle could be used to predict the temperature variation for a given condition. It is observed that the void ratio has critical effect on prediction of temperature variation. Comparing the prediction for a 4 mm particle specimen with a mixed particle specimen, it is also concluded that predicting the mixed particle specimen temperature is much more efficient considering the number of particles that are directly associated with computational time in DEM analysis.

Research on Prevention Principle for Permanent Migration of Migrant Workers (이주노동자 정주화방지원칙에 대한 연구)

  • Lee, Hyang-Soo;Lee, Seong-Hoon
    • Journal of Digital Convergence
    • /
    • v.14 no.5
    • /
    • pp.117-123
    • /
    • 2016
  • As a multicultural society, is it right to adhere to the prevention principle of permanent migration of migrant workers? We need to try to do a little more calm consideration on the prevention principle for permanent migration rather than in terms of human right and emotional aspect. Even though there is a suggestion that we need to decrease the proportion of 3D Jobs by improving industrial demand, migrant workers can be an alternative in that we need a solution unless we can be freed from 3D Jobs. The prevention principle for permanent migration not only is against the trend of multicultural society but also blocks the opportunity for migrant workers to share their skills and knowledge taught in our country. In addition, with the society aging, that the permanent migration of migrant workers can be proper channels to supply young labor force should be kept in mind. In addition to this practical aspect, considering that all human beings are equal and with dignity and unequal conditions that migrant workers undergo require empathetic viewpoint, the prevention principle should be amended.