Affiliations: Institute of Advanced Study in Science and Technology, Guwahati, Assam, India | National Institute of Technology, Silchar, Assam, India
Note: [] Corresponding author. Binod Chandra Tripathy, Institute of Advanced Study in Science and Technology, Paschim Boragaon, Garchuk, Guwahati-781035, Assam, India. Tel.: +91 9864087231; Fax: +91 361 2279909; E-mail: tripathybc@yahoo.com
Abstract: In this article we introduce the notions of I-convergent and I-bounded difference sequences of fuzzy real numbers. We study different properties of I-convergent, I-null and I-bounded difference sequence spaces of fuzzy real numbers like completeness, solidness, monotone, symmetricity, sequence algebra, convergence free, nowhere denseness. We prove some inclusion results also.
Keywords: Fuzzy real numbers, difference sequence, I-convergence, solid space, symmetric space
