CAJ | 학술논문

研究了一种特殊的模糊度量ρ,称为区间值度量.区间数的运算(如加减乘除运算)在相关文献中已有定义,对区间数的减法运算进行新的定义,得到相应的不等式性质,接着给出了区间值度量的定义;介绍了区间值度量空间中相关的定义,如收敛序列、Cauchy 序列以及完备性等;讨论了区间值度量空间中的不动点定理和公共不动点定理.
연구료일충특수적모호도량ρ,칭위구간치도량.구간수적운산(여가감승제운산)재상관문헌중이유정의,대구간수적감법운산진행신적정의,득도상응적불등식성질,접착급출료구간치도량적정의;개소료구간치도량공간중상관적정의,여수렴서렬、Cauchy 서렬이급완비성등;토론료구간치도량공간중적불동점정리화공공불동점정리.
@@@@This paper studies a special kind of fuzzy metric ρ , called interval-valued metric. The operations of interval number (such as addition subtraction multiplication divition)are given in related references, the subtraction operation of interval num-ber is redefined, and the corresponding inequality properties are obtained. Then the definition of interval-valued metric is given. Some related conception in interval-valued metric space are introduced, such as convergent sequence, Cauchy sequence and completeness etc, and the fixed point theorem and common fixed point theorem in interval-valued metric space are presented.