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Intuitionistic Fuzzy Generalized Conformable Fractional Derivative |
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PP: 63-72 |
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doi:10.18576/pfda/100106
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Author(s) |
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Atimad Harir,
Said Melliani,
L. Saadia Chadli,
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Abstract |
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| The innovative idea of Atanassov’s intuitionistic fuzzy sets (IFSs) is to get a more comprehensive and detailed description of the ambiguity and uncertainty by introducing a membership function and a nonmembership function. Each element in an IFS is represented by an ordered pair, which is known an intuitionistic fuzzy number (IFN). In this paper, We introduced a new definition of the generalized conformable fractional derivative of the intuitionistic fuzzy number-valued functions, Using this definition, we prove some results and with the help of α-cut set, the Hukuhara difference between intuitionistic fuzzy numbers are defined and proved. An intuitionistic fuzzy conformable nuclear decay equation with the initial condition given to show the new theorems and is solved under a new generalized conformable fractional derivative concept.
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