A study on Choquet integrals and their applications in vague soft sets

국문 초록 (Abstract)

Wang-Qu [9]는 패턴 인식, 이미지 처리, 근사 추론, 퍼지 제어 등 다양한 분야에서 광범위하게 적용할 수 있는 애매한 소프트 집합의 엔트로피, 유사성 측도 및 거리 측도를 도입했다. 또한, Jang-Kwon [3]에서 처음으로 구간값 함수의 쇼케이 적분을 정의하고 이와 관련된 성질을 조사하였다. 그이후 많은 논문에서 구간값 쇼케이적분의 응용을 연구해 왔다. 애매한 집합의 속성이 구간값 소속함수의 성질을 가지고 있음을 이용하고자 한다. 본 논문에서는 애매한 소프트 집합상에서 쇼케이 적분을 정의하고, 이들 적분에 의해 정의된 구간값 거리 측도를 조사한다.

다국어 초록 (Multilingual Abstract)

Wang-Qu [9] introduced entropy, similarity measure and distance measure of vague soft sets which can be extensively applied in many fields such as pattern recognition, image processing, approximation inference, and fuzzy control. In addition, for the first time in Jang-Kwon [3], the Choquet integral of the interval-valued function was defined and the related properties of them were investigated. Since then, many papers have studied the application of interval-valued Choquet integrals. We note that vague soft sets have the interval-valued membership functions. In this paper, by using interval-valued Choquet integrals and vague soft sets, we define the Choquet integral on vague soft sets and investigate an interval-valued distance measure defined by them.

목차 (Table of Contents)

• 요약
• Abstract
• 1. Introduction
• 2. Preliminaries and Definitions
• 3. Choquet integrals on a vague soft set
• 4. Applications
• 5. Conclusions
• References

참고문헌 (Reference)

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