GATEAUX and FRÉCHET DERIVATIVE IN INTUITIONISTIC FUZZY NORMED LINEAR SPACES

Bivas Dinda (), T. K. Samanta () and U. K. Bera ()
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Bivas Dinda: Department of Mathematics, Mahishamuri Ramkrishna Vidyapith, Howrah-711401, West Bengal, India
T. K. Samanta: Department of Mathematics, Uluberia College, Howrah, India
U. K. Bera: Department of Mathematics, City College, Kolkata-700009, India

New Mathematics and Natural Computation (NMNC), 2012, vol. 08, issue 03, 311-322

Abstract: In this paper, we introduce intuitionistic fuzzy derivative, intuitionistic fuzzy Gateaux derivative and intuitionistic fuzzy Fréchet derivative and some of their properties are studied. The relations between intuitionistic fuzzy Gateaux derivative and intuitionistic fuzzy Fréchet derivative are studied.

Keywords: Intuitionistic fuzzy differentiation; intuitionistic fuzzy continuity; intuitionistic fuzzy Gateaux derivative; intuitionistic fuzzy Fréchet derivative (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1142/S1793005712500056

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