Earticle

초록

영어

Three types of rough equalities were introduced by Novotny and Pawlak ([1, 2, 3]), which take care of approximate equalities of sets. These sets may not be equal in the usual sense. These notions were generalized by Tripathy, Mitra and Ojha ([10]), who introduced the concepts of rough equivalences of sets. These approximate equalities of sets capture equality of the concerned sets at a higher level than their corresponding rough equalities. Some more properties were proved in [11]. In this paper, we introduce two other types of approximate equalities of sets, called the approximate rough equivalences and approximate rough equality. We study some properties of these four types of approximate equalities and analyse their relevance from the application point of view.

목차

Abstract
 1. Introduction
  1.1 Basic Rough Sets
 2. Approximate Equalities of Sets
  2.1. The kinds of Approximate Equalities
  2.2. Rough Equalities of Sets
  2.3. Rough Equivalences of Sets
  2.4. Examples
 3. Approximate Rough Equivalence and Approximate Rough Equality of Sets
 4. Comparisons
 5. General Properties
  5.1. Approximate Rough Equivalence Properties
  5.2. Approximate Rough Equality Properties
 6. Properties with Replacements
  6.1. Approximate Rough Equivalence Properties
  6.2. Approximate Rough Equality Properties
 7. Conclusions
 References

키워드

저자

• B. K. Tripathy [ Senior Professor, SCS, VIT University, Vellore – 632014, Tamilnadu, India ]

참고문헌

발행기관

간행물

표지보기 관심저널 등록

• 간행물명

  International Journal of Advanced Science and Technology

• 간기

  월간

• pISSN

  2005-4238

• 수록기간

  2008~2016

• 십진분류

  KDC 505 DDC 605