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Achyutanada Baruah

Bio: Achyutanada Baruah is an academic researcher. The author has contributed to research in topics: Sequence & Normal convergence. The author has an hindex of 3, co-authored 3 publications receiving 177 citations.

Papers
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Journal ArticleDOI
TL;DR: In this article, the authors introduce the concept of lacunary statistical and strongly convergence of generalized difference sequence of fuzzy real numbers and prove some inclusion relations and also study some of their properties.
Abstract: In this paper we introduce the concept of lacunary statistical and lacunary strongly convergence of generalized difference sequence of fuzzy real numbers. We prove some inclusion relations and also study some of their properties.

77 citations

Journal ArticleDOI
TL;DR: In this paper, the natation difference operator Δrn(m ≥ 0, an integer) was introduced for studying properties of some sequence spaces, such as solidness, convergence free, symmetricity, and completeness.
Abstract: In this paper we introduce the natation difference operator Δrn(m ≥ 0, an integer) for studying properties of some sequence spaces. We define the sequence spaces l ∞ F (Δm), cF(Δm), cF o(Δm) and investigate their properties like solid‐ness, convergence free, symmetricity, completeness.

56 citations

DOI
01 May 2012
TL;DR: In this paper, the authors introduce a new type of almost statistical convergence of generalized difference sequences of fuzzy numbers, and give the relations between the strongly almost Cesaro type convergence and almost statistical convergences in these spaces.
Abstract: In this paper, we introduce a new type of almost statistical convergence of generalized difference sequences of fuzzy numbers. We give the relations between the strongly almost Cesaro type convergence and almost statistical convergence in these spaces. Furthermore, we study some of their properties like completeness, solidity, symmetricity etc. We also give some inclusion relations related to these classes.

55 citations


Cited by
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Journal ArticleDOI
01 May 2013
TL;DR: Some basic properties and characterization theorems for the γ-continuous functions in fuzzy bitopological spaces are examined and it is observed that every pairwise fuzzyγ-Continuous functions is pairwise warm precontinuous but the converse not true.
Abstract: In this paper we introduce the notion of γ-open sets and γ-continuous functions in fuzzy bitopological spaces. We examine some basic properties and prove some characterization theorems for the said functions. It is observed that every pairwise fuzzy γ-continuous functions is pairwise fuzzy precontinuous but the converse not true.

132 citations

Journal ArticleDOI
01 Apr 2016
TL;DR: A new similarity measure and a weighted similarity measure on intuitionistic fuzzy soft sets (IFSSs) are proposed and some of their basic properties are discussed and it is found that the defined relation is not an equivalence relation.
Abstract: Graphical abstractDisplay Omitted HighlightsThe proposed method is applied on UCI Machine Learning Repository datasets and its corresponding performance measures are obtained.The comparison of the proposed similarity measures with the existing results reveal that the accuracy obtained by the present technique provides better similarity rating.It is also observed that fixing the threshold values for the similarity measures is difficult due to the negative rating in some existing methodology.The above difficulty can be avoided by using this newly proposed technique, in which the similarity measures lies between 0 and 1.The similarity rating obtained by the suggested technique is compared with the class distribution data set and are analyzed.The proposed method exhibits more accuracy, sensitivity, ROC curves, AUC values and enhanced F-measure than the existing methods. In this paper, a new similarity measure and a weighted similarity measure on intuitionistic fuzzy soft sets (IFSSs) are proposed and some of their basic properties are discussed. Using the proposed similarity measure, a relation (?α) between two IFSSs are defined and it is found that the defined relation is not an equivalence relation. Further, the effectiveness of the proposed similarity measure is demonstrated in a numerical example with the help of measure of performance and measure of error. Moreover, medical diagnosis problems have been exhibited through a hypothetical case study by using this proposed similarity measure. Finally, the proposed method is applied to 10 different medical data sets from UCI Machine Learning Repository datasets and its similarity measures are calculated. The corresponding performance measures, like, accuracy, sensitivity, specificity, ROC curves, AUC values, and F-measures are obtained and it is compared with the existing methods. This shows that the proposed method exhibits more accuracy, sensitivity and enhanced F-measures than the existing methods.

114 citations

Journal ArticleDOI
TL;DR: This paper presents a new construction method for interval-valued fuzzy relations from fuzzy relations (fuzzy images) by vicinity based on the concepts of triangular norm (t-norm) and triangular conorm (t -conorm).
Abstract: In this paper, we present a new construction method for interval-valued fuzzy relations (interval-valued fuzzy images) from fuzzy relations (fuzzy images) by vicinity. This construction method is based on the concepts of triangular norm (t-norm) and triangular conorm (t-conorm). We analyze the effect of using different t-norms and t -conorms. Furthermore, we examine the influence of different sizes of the submatrix around each element of a fuzzy relation on the interval-valued fuzzy relation. Finally, we apply our construction method to image processing, and we compare the results of our approach with those obtained by means of other, i.e., fuzzy and nonfuzzy, techniques.

94 citations

Journal ArticleDOI
TL;DR: Some properties of the Norlund and Riesz mean of sequences of fuzzy real numbers are studied to establish necessary and sufficient conditions to transform convergent sequence of fuzzy numbers into convergent sequences of fuzzier numbers with limit preserving.

86 citations

Journal ArticleDOI
TL;DR: In this article, the authors introduce the concept of lacunary statistical convergence of order α of real number sequences and give some inclusion relations between the sets of sets of Lacunary Statistical Convergence of Order α and strong Nθα(p)-summability.

79 citations