The Use of Common Knowledge in Fuzzy Logic Approach for Vineyard Site Selection
Abstract
:1. Introduction
2. Materials and Methods
2.1. Materials for Spatial Information Acquisition
2.2. Materials for Common Knowledge Acquisition
2.3. Information Acquisition and Membership Functions
2.4. Implementation of Fuzzy Logic-Based System
- Factors—fundamental data, which consists of common knowledge obtained from the literature search. As the aim of this paper states: only the Common and Interchangeable variables were used in further steps;
- Information acquisition—it is the phase of translating acquired data into manageable information in terms of deriving if-then rules, as well as ranges of possibilities;
- Membership functions—a step of applying proper membership functions to different linguistic terms;
- Fuzzy rules—a transformation of acquired information to a set of if-then rules with selected examples of principles used in the process of aggregating results from individual groups:
- (Topography==Bad) & (Soil==Bad) & (Climate==Bad) & (Other==Bad) => (Site_Final_Assessment=Bad_Site) (1)
- (Topography==Good) & (Soil==Bad) & (Climate==Good) & (Other==Good) => (Site_Final_Assessment=Average_Site) (1)
- (Topography==Good) & (Soil==Good) & (Climate==Good) & (Other==Bad) => (Site_Final_Assessment=Average_Site) (1)
- (Topography==Good) & (Soil==Good) & (Climate==Good) & (Other==Good) => (Site_Final_Assessment=Good_Site) (1)
- (Topography==Bad) & (Soil==Good) & (Climate==Good) & (Other==Bad) => (Site_Final_Assessment=Bad_Site) (1)
- Fuzzy inference system—a process of the inference cycle fuzzy matching execution, fuzzy conflict resolution (logical operators strategy), and fuzzy rule-firing when faced with given information;
- User interface—environment for communication between fuzzy decision support system and user. The interface should be as easy to follow as possible.
- Fuzzification of input: resolving of all fuzzy statements in the antecedent to a degree of membership between 0 and 1.
- Application of fuzzy operator to multiple part antecedents: applying fuzzy logic operators to resolve the antecedent to a single number between 0 and 1, which is the degree of support for the rule.
- Application of implication method: using the degree of support for the entire rule to shape the output fuzzy set. The consequence of a fuzzy rule assigns an entire fuzzy set to the output. This fuzzy set is represented by a membership attribute, which is chosen to show the following qualities. If the antecedent was only partially valid (i.e., a value less than one is assigned), then the inference method truncated the output fuzzy set under the chosen implication method (Appendix C).
3. Results
3.1. Graphical Representation of the Developed Fuzzy System
3.2. Aggregated Results
3.3. Assessment Method Simulation
4. Discussion
5. Conclusions
Author Contributions
Funding
Conflicts of Interest
Appendix A
Appendix B
Appendix C
References
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Factor | Common Knowledge |
---|---|
Topography | |
Elevation | Ask other local growers for a location of a “sweet spot” in absolute and local elevation, which is a zone of earliest ripening with a lower risk of winter injury and frost [8]. |
River valley | Look for wide river valleys that have positive mezoclimate because of the lower height above the sea than surroundings [6,57]; this positive effect would not appear in small valleys and narrow gorges in which the cold air is accumulated [58,59]. |
Water reservoir | Look for a site that is not surrounded by shallow lakes, ponds, backwaters, swamps, and wetlands because they have a negative influence on thermal conditions. Their ability of heat accumulation is infinitesimal, and a wide evaporation surface creates a danger of frost appearance. The positive influence can only appear with the big and deep rivers and lakes that are located up to a dozen meters from the site [60]. |
Soil | |
Internal water drainage | Walk through a field after heavy rain—if water stands for a day or more after a rain—choose another site [8], or dig a hole two feet deep and feel it with water—if water drains out in 8 h the internal water drainage is excellent, in 24 h: good, in 48 h: adequate, and after 48 h: poor [11]. |
pH level | Make a test of soil pH—when pH is between 5.5 and 6.5 the site is optimal when it is below 5.5—there might be a problem with phosphorus deficiency and aluminium toxicity; pH up to 7.5 is acceptable, but above 7.5 vines may develop zinc and iron chlorosis deficiency; to influence nutrition uptake pH between 5.0 and 6.0 will be optimal [8]. |
Stone content | Choose the site that does not have excessive stone content; rocks on or near the surface are not desirable [8]. |
Erosion intensity | Choose the site that does not have excessive erosion of topsoil [8]. |
Heat accumulation | Too little heat accumulation can stunt grape ripening, while too much heat shortens the growing season and does not allow for proper development of flavour [8]; the newest research present that sites with light-colored soils (arenaceous or calcareous) can improve the wine quality. This type of soil reflects the light—fruits are better enriched with light, and in their rind, there are more polyphenolic compounds [61]. |
Climate | |
Frost | Choose the site where the cold air is drained quickly from the ground; avoid concave land (where the cold air would settle); slopes and vineyard borders without barriers (like buildings or trees) provide good air drainage [8]; the range of frost basin can be determined by observation of spring and autumn hoarfrost (around 6 a.m.) and appearance of half-day and nightly fog [58]; the evening walk in late summer or autumn can also be a valuable experience—when walking down the slope the feeling of chill should appear—below this site the vineyard should not be located [62]. |
Winter injury | Do not plant grapes in wet, low-lying areas of the site [8]. |
Rainfall shadows | Too much rain can lead to enormous compaction if the soil is in poor condition, and also more insects may appear; analyze the distribution of rain using climate data services or talking to winegrowers to find “rain shadows”—areas that receive less rain than their surroundings [8]. |
Wind | Choose the places that are relatively secluded and shielded from north and west; light wind (2–3 m/s) has a positive influence on the health of vine by hampering the growth of fungal diseases; the heavy wind has a negative influence on the microclimate of the vineyard [62]. |
Other | |
Local winegrower examination | Walk the site with local winegrower who can examine the whole property with the knowledge of local conditions. |
Surroundings | Observe the surrounding of the site—trees, buildings, hills, and other barriers that interrupt the vineyard, especially from south and west are not desirable [8,62]. |
History of viticulture at the site | The historical localization of vineyards can be the proof of good site, but only if these vineyards had economic value and survived for 70–80 years; the localizations of small garden vineyards are not good factors, while they were often planted as a decoration and not for economic reasons [63]; it is also important to notice that in the past, vineyard districts were stated based on trade area localization and not always connected with the terroir of the site [64]. |
Variable | Type of Membership Function | Range | No. of Functions |
---|---|---|---|
Topography | |||
Elevation | Pi-shaped | 0–10 | 3 |
River valley | Generalized bell-shaped | 0–10 | 3 |
Water reservoir | Trapezoidal | 0–10 | 2 |
Soil | |||
Internal water drainage | Generalized bell-shaped | 0–60 | 4 |
pH level | Generalized bell-shaped | 0–10 | 4 |
Stone content | Gaussian combination | 0–10 | 2 |
Erosion intensity | Triangular | 0–10 | 2 |
Heat accumulation | Generalized bell-shaped | 0–10 | 3 |
Climate | |||
Frost—air drainage | Triangular | 0–10 | 3 |
Frost—cooling sensation | Gaussian combination | 0–10 | 3 |
Winter injury | Generalized bell-shaped | 0–10 | 3 |
Rainfall shadows | Gaussian | 0–10 | 3 |
Wind | Trapezoidal | 0–10 | 2 |
Other | |||
Local winegrower examination | Triangular | 0–10 | 3 |
Surroundings | Product of two sigmoidal | 0–10 | 2 |
History of viticulture at the site | Gaussian | 0–10 | 2 |
Variable | Supporting Queries |
---|---|
Elevation | To what extent the elevation satisfy the “sweet spot” parameters? |
River valley | How vast is the river valley? |
Water reservoir | How well does the reservoir satisfy its desired parameters? |
Internal water drainage | How many hours does the water stand on the field? |
pH level | What is the measured pH level? |
Stone content | Are there many rocks on or near the surface of the field? |
Erosion intensity | How excessive is the erosion of the topsoil? |
Heat accumulation | What is the dominant color of the soil? |
Frost—air drainage | Are there any obstacles to air drainage? |
Frost—cooling sensation | What is the sensation, according to the “evening walk” test? |
Winter injury | What is the content of wet, low-lying areas? |
Rainfall shadows | How frequent are rainfalls? |
Wind | What is the intensity of the wind? |
Local winegrower examination | How does the local grower assess the site? |
Surroundings | Are there many interrupting surroundings? |
History of viticulture at the site | How good is your proof of proper prior viticultures at the site? |
Fuzzy Inference System | Mamdani |
---|---|
AND method | MIN |
OR method | MAX |
Implication | MIN |
Aggregation | MAX |
Defuzzification | Centroid |
Scenario | GIS | Topography | Soil | Climate | Other | Assessment | Suitability |
---|---|---|---|---|---|---|---|
1 | 0.50 | 5.0 | 5.0 | 5.0 | 5.0 | 4.48 | Average |
2 | 0.30 | 7.5 | 6.3 | 3.6 | 1.2 | 2.84 | Bad |
3 | 0.87 | 7.8 | 6.8 | 7.2 | 8.6 | 6.46 | Average |
4 | 0.59 | 3.5 | 2.9 | 2.6 | 5.0 | 4.01 | Average |
5 | 0.81 | 0.4 | 1.1 | 4.0 | 6.9 | 3.60 | Average |
6 | 0.94 | 8.8 | 8.5 | 8.8 | 9.2 | 7.64 | Good |
7 | 0.77 | 5.4 | 6.1 | 6.0 | 7.3 | 4.90 | Average |
8 | 0.57 | 0 | 8.8 | 0 | 8.1 | 2.01 | Bad |
9 | 0.90 | 9.3 | 7.0 | 8.1 | 8.1 | 6.95 | Good |
10 | 1 | 10 | 10 | 10 | 10 | 10.00 | Good |
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Chrobak, K.; Chrobak, G.; Kazak, J.K. The Use of Common Knowledge in Fuzzy Logic Approach for Vineyard Site Selection. Remote Sens. 2020, 12, 1775. https://doi.org/10.3390/rs12111775
Chrobak K, Chrobak G, Kazak JK. The Use of Common Knowledge in Fuzzy Logic Approach for Vineyard Site Selection. Remote Sensing. 2020; 12(11):1775. https://doi.org/10.3390/rs12111775
Chicago/Turabian StyleChrobak, Katarzyna, Grzegorz Chrobak, and Jan K. Kazak. 2020. "The Use of Common Knowledge in Fuzzy Logic Approach for Vineyard Site Selection" Remote Sensing 12, no. 11: 1775. https://doi.org/10.3390/rs12111775
APA StyleChrobak, K., Chrobak, G., & Kazak, J. K. (2020). The Use of Common Knowledge in Fuzzy Logic Approach for Vineyard Site Selection. Remote Sensing, 12(11), 1775. https://doi.org/10.3390/rs12111775