Stuti Borgohain

Some classes of difference sequence spaces of fuzzy real numbers defined by Orlicz function

We introduce the classes of generalized difference bounded, convergent, and null sequences of fuzzy real numbers defined by an Orlicz function. Some properties of these sequence spaces like solidness, symmetricity, and convergence-free are studied. We obtain some inclusion relations involving these sequence spaces.

Strongly Almost Lacunary -Convergent Sequences

We study some new strongly almost lacunary -convergent generalized difference sequence spaces defined by an Orlicz function. We give also some inclusion relations related to these sequence spaces.

Sequence Spaces of Fuzzy Real Numbers Using Fuzzy Metric

The sequence spaces c F (M ), c F (M ) and l F (M ) of fuzzy real numbers with fuzzy metric are introduced. Some properties of these sequence spaces like solidness, sym- metricity, convergence-free etc. are studied. We obtain some inclusion relations involving these sequence spaces.

Sequence Space m(M, φ) F of Fuzzy Real Numbers Defined by Orlicz Functions with Fuzzy Metric

Abstract. The sequence space m(M,φ) F of fuzzy real numbers is introduced. Someproperties of this sequence space like solidness, symmetricity, convergence-free etc. arestudied. We obtain some inclusion relations involving this sequence space. 1. IntroductionThe concept of fuzzy set theory was introduced by L.A. Zadeh in the year 1965.Later on different classes of sequences of fuzzy numbers have been investigated byEsi [2], Nuray and Savas [6], Syau [9], Tripathy and Baruah ([13], [14], [15]), Tripa-thy and Borgohain [16], Tripathy and Dutta ([17], [18]), Tripathy and Sarma [20]and many others.An Orlicz function is a function M : [0,∞) → [0,∞), which is continuous,non-decreasing and convex with M(0) = 0,M(x) >0,for x>0 and M(x) → ∞, asx→ ∞.If the convexity of the Orlicz function is replaced by M(x+y) ≤ M(x)+M(y),then this function is called as modulus function.Remark. An Orlicz function satisfies the inequality M(λx) ≤ λM(x) for all λwith0 <λ<1.Sargent [8] introduced the crisp set sequence space m(φ) and studied someproperties of this space. Later on it was studied from the sequence space point ofview and some matrix classes were characterized with one member as m(φ) by Rathand Tripathy [7], Tripathy [10] and others. In this article we introduce the spacem(M,φ)

Some new lacunary statistical convergence with ideals

In this paper, the idea of lacunary Iλ

Some new spaces of lacunary f-statistical A-convergent sequences of order α

I_{\lambda}

On a class of n-normed sequences related to

-statistical convergent sequence spaces is discussed which is defined by a Musielak-Orlicz function. We study relations between lacunary Iλ

\ell_p

I_{\lambda}

-space

-statistical convergence with lacunary Iλ

Statistically Convergent Difference Sequence Spaces of Fuzzy Real Numbers Defined by Orlicz Function

I_{\lambda}