Abstract
The increase in demand for more food production due to the population growth has caused land efficiency and sustainable soil management to be taken into consideration. Multi-criteria decision-making (MCDM) technique ranks the management alternatives via handling various data. The aim of this study was to determine efficient criteria and sub-criteria among the 16 soil properties in cropland, rangeland, and forestland based on the pair-wise comparison, weighting, and computing the influence percentage through fuzzy analytical hierarchy process (FAHP) and fuzzy TOPSIS and comparing their outcomes. Furthermore, the gap degree was calculated to understand which alternative and to what extent should be changed and improved to achieve the goal in the best way. The Best Non-fuzzy Performance Value (BNP) with the center of area (COA) method was applied to estimate the criterion weight. According to the final weights of criteria in cropland, it can be seen that the chemical attribute was preferred, since it had the highest weight (0.459), followed by the nutritional (0.332) and physical (0.209) properties; whereas, the most important criterion in rangeland and forestland was related to the physical property (weight = 0.76). The highest gap degree was obtained for bulk density (BD) (0.868), pH (0.567), and nitrogen (N) (0.845), respectively. The larger the gap degree, the more preferred the alternative. According to the computed relative closeness coefficient (RCCi), soil N and BD carried the highest priority. Application of FAHP to identify the most significant factor, which has critical effects on land sustainable management, also evaluation of environmental performance especially associated with soil properties in different land uses are very important due to guide decision-maker on picking FAHP model in considering and ranking decision criteria used in land use management.
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Data will be available based on request.
Abbreviations
- A1 :
-
Cropland
- A2 :
-
Rangeland
- A3 :
-
Forestland
- Aij :
-
Matrix pair-wise components
- AHP:
-
Analytic hierarchy process
- BD:
-
Bulk density
- BNP:
-
Best Non-fuzzy performance values
- C1 :
-
Soil physical properties
- C2 :
-
Soil chemical properties
- C3 :
-
Soil nutritional properties
- CCi :
-
Closeness coefficient or fuzzy gap degree
- CCE:
-
Calcium carbonate equivalent
- CEC:
-
Cation exchange capacity
- CI:
-
Consistency index
- COA:
-
Center of area
- CR:
-
Consistency ratio
- Cu:
-
DTPA- extractable copper
- d * i :
-
The shortest interval from the positive ideal solution
- d ─ i :
-
The largest interval from the negative ideal solution
- dv :
-
The distance between two fuzzy numbers
- EC:
-
Electrical conductivity of soil saturated extract
- FAHP:
-
Fuzzy analytic hierarchy process
- Fe:
-
DTPA- extractable iron
- FNIS:
-
Fuzzy negative-ideal solution
- FPIS:
-
Fuzzy positive-ideal solution
- FTOPSIS:
-
Fuzzy technique for order preference by similarities to ideal solution
- l ij :
-
The minimum possible value of a fuzzy number ãij = (lij, mij, uij)
- \(l\tilde{w}_{i}\) :
-
The lower value of the fuzzy weight of the ith criterion
- MCDM:
-
Multi-criteria decision-making
- m ij :
-
The most likely possible value of a fuzzy number ãij = (lij, mij, uij)
- MMULT:
-
Matrix multiplication
- Mn:
-
DTPA- extractable manganese
- \(m\tilde{w}_{i}\) :
-
The middle value of the fuzzy weight of the ith criterion
- n :
-
Dimension of the matrix
- N:
-
Total Nitrogen
- OC:
-
Organic carbon
- OM:
-
Organic matter
- P:
-
NaHCO3-extractable phosphorous
- pH:
-
PH of saturated soil paste
- RCCi :
-
Relative closeness coefficient
- \(\tilde{r}_{i}\) :
-
The geometric mean of fuzzy comparison values
- RI:
-
Random indices
- RIg :
-
Random indices according to the middle matrix
- RIm :
-
Random indices according to the geometric mean matrix
- u ij :
-
The maximum possible value of a fuzzy number ãij = (lij, mij, uij)
- \(u\tilde{w}_{i}\) :
-
The upper value of the fuzzy weight of the ith criterion
- w ij :
-
Fuzzy weight
- \(\tilde{w}_{i}\) :
-
The fuzzy weight of the ith criterion
- w g :
-
Weights calculated by the geometric matrices of triangular numbers
- w m :
-
Weights calculated by the middle matrices of triangular numbers
- Zn:
-
DTPA- extractable zinc
- ϴv :
-
Water content by volume
- λ :
-
Eigenvalue for each matrix
- λ max :
-
Maximum eigenvalue for each matrix
- \(\mu_{A} \left( {\tilde{a}_{ij} } \right)\) :
-
Membership function for a fuzzy number (ãij)
- \(\otimes\) :
-
Fuzzy multiplication operation
- \(\oplus\) :
-
Fuzzy addition operation
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Zahedifar, M. Feasibility of fuzzy analytical hierarchy process (FAHP) and fuzzy TOPSIS methods to assess the most sensitive soil attributes against land use change. Environ Earth Sci 82, 248 (2023). https://doi.org/10.1007/s12665-023-10934-y
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DOI: https://doi.org/10.1007/s12665-023-10934-y