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In this release one can find matlab codes for n-ary TOPSIS that uses n-ary norm operators to set preference for either positive ideal solution or negative ideal solution depending on the practical problem. Basic TOPSIS has been critized about not being able to set preference for either positive ideal solution or negative ideal solution and it is considering them to be equally important. With n-ary norm operator we can prefer one over another depending on the practical problem. Preference can be modelled by imposing stricter or weaker norm operator depending on practical problem. Another generalization in the code is that instead of using Euclidean distance code is generalized to Minkowski distance. Paper was this published in P. Luukka, N—ary norm operators and TOPSIS, 2020 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), Glasgow, UK, 2020, pp. 1-6, doi: 10.1109/FUZZ48607.2020.9177580. Codes that can be found are: Mainfile.m script that shows an example how to use the method narytopsis.m function call for N-ary TOPSIS normalization.m function that normalizes the data into unit interval distM.m function that calculates Minkowski distance recursivetnorm.m and recursivetconorm.m recursive implementation for intersection and union operators i_yager.m, u_yager.m implementations for Yager's intersection and union operators.
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README.md

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# Preference-modeling-with-TOPSIS-using-N-ary-norm-operators
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In this release one can find matlab codes for n-ary TOPSIS
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that uses n-ary norm operators to set preference for either positive
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ideal solution or negative ideal solution depending on the practical
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problem. Basic TOPSIS has been critized about not being able to set
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preference for either positive ideal solution or negative ideal solution
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and it is considering them to be equally important. With n-ary norm operator
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we can prefer one over another depending on the practical problem.
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Preference can be modelled by imposing stricter or weaker norm operator
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depending on practical problem. Another generalization in the code is that
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instead of using Euclidean distance code is generalized to Minkowski distance.
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Paper was this published in
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P. Luukka, N—ary norm operators and TOPSIS, 2020 IEEE International
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Conference on Fuzzy Systems (FUZZ-IEEE), Glasgow, UK, 2020, pp. 1-6,
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doi: 10.1109/FUZZ48607.2020.9177580.

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