Common Fixed Points of Occasionally Weakly Compatible in Intuitionistic Fuzzy Metric Space

Abstract

Abstract. In this paper, we prove some common fixed point theorem for occasionally weakly compatible maps in intuitionistic fuzzy metric spaces satisfying implicit relation. Our result extends and generalizes the recent results of Manro et al. [13,14].

Enriched Fuzzy  -Algebra and Fuzzy RoughApproximation Operators

“…L M -fuzzy  -algebra and L -intuitionistic fuzzy [10]  -algebra, both of which can be regarded as the extensions of fuzzy  -algebra. In the future, we will shall consider the corresponding enriched concepts within that framework.…”

“…Rough set theory was first proposed by Pawlak [8] as a formal tool for modeling and processing incomplete information. By utilizing the concept of upper and lower approximation in rough set theory,it is possible to unveil the knowledge concealed within an information system can be revealed in the form of decision rules [9,10]. The concept of  -algebra [3], which underlies probability theory (especially measurable spaces [16]) and analytical mathematics such as Lebesgue integrals, can be interpreted as a collection of events, and probabilities can be assigned to each event.…”