16-17 May 2019 • Sofia, Bulgaria

Submission: 21 February 2019Notification: 11 March 2019Final Version: 1 April 2019

Issue:An application of some intuitionistic fuzzy modal operators to agriculture

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Title of paper: Some algebraic properties of the matrix representation of intuitionistic fuzzy modal operators
Gökhan Çuvalcioğlu
Department of Mathematics, University of Mersin, Turkey
gcuvalciogluAt sign.pnggmail.com
Esra Aykut
Department of Mathematics, University of Mersin, Turkey
esraxaykutAt sign.pnggmail.com
Presented at: 19th International Conference on Intuitionistic Fuzzy Sets, 4–6 June 2015, Burgas, Bulgaria
Published in: "Notes on IFS", Volume 21, 2015, Number 2, pages 140—149
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Abstract: Herewith proposed is an application of elements of the theory of intuitionistic fuzzy sets to a problem from the area of agriculture, namely application of different intuitionistic fuzzy operators to the problem of ensuring economic irrigation of farmland. We start from the assumption that the separation of an agricultural area can be done in the same way as the separation of image. Separating an area requires the use of certain variables, and the proposed application exhibits a variety of such variables like temperature, level of afforestation, type of trees, various characteristics of soil, including soil moisture, slope of the terrain, air humidity in agricultural area, etc. From all these variables, we have chosen to include in our model the type of soil, air humidity and soil humidity.For the purpose of the present research, we benefit from the definition of membership function implementing the enhancement algorithm as described with membership functions in [8] and Z_{\alpha,\beta}^{\omega} , F_{\alpha,\beta}, B_{\alpha,\beta} as described in [2,3]. These operators were used for optimal tuning the variables in the economic irrigation model.
Keywords: Intuitionistic fuzzy modal operators, Agricultural application, Intuitionistic fuzzy logic, Contrast enhancement.
AMS Classification: 03E72
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  3. Çuvalcioğlu, G., On the Diagram of One Type Modal Operatorss on Intuitionistic Fuzzy Sets: Last Expanding with  Z_{\alpha,\beta}^{\omega}, Iranian J. of Fuzzy Systems, 10(1), 2013, 89–106.
  4. Çuvalcıoğlu, G., S. Yılmaz and K. Atanassov. Matrix representation of the second type of intuitionistic fuzzy modal operators, Notes on Intuitionistic Fuzzy Sets, 20(5), 2014, 9–16.
  5. Çuvalcıoğlu, G., & Aykut, E. (2014) An application of the intuitionistic fuzzy modal operator Eα,β, Notes on Intuitionistic Fuzzy Sets, 20(5), 57-61.
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  8. Pal, S. K., & King, R. A. (1981) Image Enhancement Using Smoothing with Fuzzy Sets, IEEE Transactions on Systems, Man, and Cybernetics, SMC-1(7), 494-501.

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