Remarks to "on strong intuitionistic fuzzy metrics"

Volume 11, Issue 2, pp 316--322 http://dx.doi.org/10.22436/jnsa.011.02.12

Publication Date: February 09, 2018 Submission Date: September 26, 2016 Revision Date: May 26, 2017 Accteptance Date: May 26, 2017

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Authors

Valentín Gregori - Instituto de Matemática Pura y Aplicada, Universitat Politècnica de València, Campus de Gandia, Calle Paranimf 1, Gandia, Spain. Almanzor Sapena - Instituto de Matemática Pura y Aplicada, Universitat Politècnica de València, Campus de Gandia, Calle Paranimf 1, Gandia, Spain.

Abstract

According to the concept of strong (non-Archimedean) fuzzy metric, in the sense of George and Veeramani, Efe and Yigit have introduced, and studied, the concept of strong intuitionistic fuzzy metric [H. Efe, E. Yigit, J. Nonlinear Sci. Appl., \(\textbf{9}\)(2016), 4016--4038]. In this note we show that all results obtained by the authors are immediate consequences of known results in fuzzy metric setting and a few simple results that we will introduce.

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Keywords

• \(t\)-norm
• \(t\)-conorm
• (strong) fuzzy metric
• (strong) intuitionistic fuzzy metric

MSC

•  54A40
•  54E35

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