Note: This document is for an older version of GRASS GIS that will be discontinued soon. You should upgrade, and read the current manual page.

**--overwrite**- Allow output files to overwrite existing files
**--help**- Print usage summary
**--verbose**- Verbose module output
**--quiet**- Quiet module output
**--ui**- Force launching GUI dialog

**xmap**=*name***[required]**- x operand (membership map)
**ymap**=*name*- y operand (membership map)
**output**=*name***[required]**- Resulting map
**operator**=*string*- Fuzzy logic operation
- Options:
*AND, OR, NOT, IMP* - Default:
*AND* **family**=*string*- Fuzzy logic family
- Options:
*Zadeh, product, drastic, Lukasiewicz, Fodor, Hamacher* - Default:
*Zadeh*

**xmap**- Name of input x membership operand. This map must be of type FCELL with range 0 :1 and may require null values. Otherwise program will print error message and stops.
**ymap**- Name of input y membership operand. This map must be of type FCELL with range 0 :1 and may require null values. Otherwise program will print error message and stops. This map is optional bit is required for all operation except NOT
**operator**- A fuzzy set operators are generalization of crisp operators. There is more
than one possible generalization of every operator. There are three operations:
fuzzy complements, fuzzy intersections, and fuzzy unions. Additional implication
operator is also provided.
- fuzzy intersection (
**AND**) use T-norm of given family for calculation; - fuzzy union (
**OR**) use T-conorm of given family for calculation; - fuzzy complement (
**NOT**) fuzzy negation usually 1-x; - fuzzy implication (
**IMP**) use residuum of given family if available;

- fuzzy intersection (
**family**- T-norms, T-conorms and residuals are a generalization of the two-valued
logical conjunction, disjunction and implication used by boolean logic, for
fuzzy logics. Because there is more than one possible generalisation of logical
operations,
*r.fuzzy.logic*provides 6 most popular families for fuzzy operations:**Zadeh**with minimum (Godel) t-norm and maximum T-conorm;**product**with product T-norm and probabilistic sum as T-conorm;**drastic**with drastic T-norm and drastic T-conorm;**Łukasiewicz**with Łukasiewicz T-norm and bounded sum as a T-conorm;**Fodor**with nilpotent minimum as T-norm and nilpotent maximum as T-conorm;**Hamacher**(simplified) with Hamacher product as T-norm and Einstein sum as T-conorm;

**output**- Map containing result of two-values operations. Map is always of type FCELL and contains values from 0 (no membership) to 1 (full membership). Values between 0 and 1 indicate partial membership

- Jasiewicz, J. (2011). A new GRASS GIS fuzzy inference system for massive data analysis. Computers & Geosciences (37) 1525-1531. DOI https://doi.org/10.1016/j.cageo.2010.09.008
- Zadeh, L.A. (1965). "Fuzzy sets". Information and Control 8 (3): 338-353. . ISSN 0019-9958.
- Novák, Vilém (1989). Fuzzy Sets and Their Applications. Bristol: Adam Hilger. ISBN 0-85274-583-4.
- Klir, George J.; Yuan, Bo (1995). Fuzzy sets and fuzzy logic: theory and applications. Upper Saddle River, NJ: Prentice Hall PTR. ISBN 0-13-101171-5.
- Klir, George J.; St Clair, Ute H.; Yuan, Bo (1997). Fuzzy set theory: foundations and applications. Englewood Cliffs, NJ: Prentice Hall. ISBN 0133410587.
- Meyer D, Hornik K (2009a). Generalized and Customizable Sets in R. Journal of Statistical Software, 31(2), 1-27. DOI https://doi.org/10.18637/jss.v031.i02
- Meyer D, Hornik K (2009b). sets: Sets, Generalized Sets, and Customizable Sets. R~package version~1.0, URL http://CRAN.R-project.org/package=sets.

Available at: r.fuzzy.logic source code (history)

Latest change: Monday Jan 30 19:52:26 2023 in commit: cac8d9d848299297977d1315b7e90cc3f7698730

Note: This document is for an older version of GRASS GIS that will be discontinued soon. You should upgrade, and read the current manual page.

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