The sensible choice of gamma, which generates the output values between the “increasive” trends of fuzzy algebraic sums and the “decreasive” effects of fuzzy algebraic products.
But, how can I come to know, which gamma value is suitable for my output?
A very good question. I had tried this in my PhD work and published the paper. Let me give the reference so that you can go through it.
Here is the reference:
Article: A fuzzy set based approach for integration of thematic maps for landslide susceptibility zonation D. P. Kanungo, M. K. Arora, S. Sarkar, R. P. Gupta [Show abstract] Georisk Assessment and Management of Risk for Engineered Systems and Geohazards 03/2009; 3(1):30-43.
It is a combination of SUM and Product fuzzy logic. use power gamma.
µ(x) = (FuzzySum)γ * (FuzzyProduct)1-γ
We can choose gamma depending on selecting area (vast or small) near 1 to 0
it depend on your data values range . bourogh in his Phd tried to use several fuzzy raster and make overlay by Gamma function and he recommended that maximum value of your fuzzificated data is your gamma value. for example if your data varied between 0.2 to 0.934 your Gamma value should be 0.934
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