INTEGRATION INTERVAL TYPE-2 FAHP-FTOPSIS GROUP DECISION- MAKING PROBLEMS FOR SALT FARMER RECOMMENDATION

The Covid-19 pandemic has caused the development of the marine economy, especially the salt business of Madurese Indonesian people, to experience a decline. Some government programs are marketplace training, providing people's credit assistance, providing appropriate technical assistance such as geomembranes, and online marketing. There are difficulties in running and implementing government programs, so a decision-making system is needed for mapping salt farmers. The purpose is construct a multi-criteria group decision-making model by performing a hybrid interval type 2 FAHP and FTOPSIS method for mapping salt farmers with interval Triangular Fuzzy Number (TFN). The contribution is to determine recommendations based on TFN with the same middle point and group support system. Interval type-2 FAHP is used to determine the most influential indicator on salt farmer mapping, Interval type2 TOPSIS is used to determine salt farmer recommendations. Fuzzy type-2 provides more accurate modeling, better rating value performance, and high flexibility. The findings of this study are indicators that most influence 2 KUSTIYAHNINGSIH, RAHMANITA, PURBANDINI, RACHMAD, PURNAMA recommendation of salt farmers are marketing models, production yields, and profit. The results of the recommendations stated that 45% received good recommendations, 35% entered into moderate recommendations and 20 % entered into bad recommendations.


INTRODUCTION
Indonesia's position as an archipelagic country with a very wide sea causes each region to have the potential to produce salt. The largest salt-producing island in Indonesia is Madura. Based on statistical data from the Ministry of Marine Affairs and Fisheries in 2018, Sampang Madura became the largest salt-producing district in Indonesia with a total production of 312,061 tons [1].
The Covid-19 pandemic has caused all sectors to be paralyzed, including salt farmers in Sampang Madura. The government has also made new policies regarding Large-Scale Social Restrictions, physical distancing and is currently entering the new normal [2].
This policy affects the market share in the sale and production of salt in Sampang Madura.
Various government program efforts (Marine and Fisheries Service) in helping salt farmers face the acceleration of handling Covid-19, namely through technology training programs, providing People's business credit assistance, providing appropriate technical assistance such as geomembranes to increase the amount of production and online marketing training [3]. The problem with this research is that many salt farmers have experienced a decrease in salt production and have difficulty selling salt products due to the impact of the Covid-19 pandemic, so a mapping model for salt farmers is needed to help run the office's work program during the Covid-19 pandemic and the 4.0 industrial revolution.
This mapping model is guided by several indicators, namely land area, production output, number of workers, ownership, operating profit, marketing system, market place. Some indicators contain information that is not clear, contains uncertainty and inaccuracies in the data, thus requiring appropriate decision-making methods. The purpose is to construct a hybrid interval type 3 FAHP-FTOPSIS GROUP DECISION-MAKING PROBLEMS 2 fuzzy AHP, TOPSIS method for mapping salt farmers. Fuzzy type-2 provides more accurate modeling, better rating value performance, and high flexibility [4][5] [6] [7].
Linguistic modeling interval type-2 fuzzy is clear and has preferred accuracy than fuzzy type-1 [8]. Determine entropy weight, AHP method has advantage of solving problem of many complex criteria into a hierarchical structure to get a suitable and easy-to-understand model [9][10] [11]. In testing expert or respondent judgments and optimizing multi-criteria decisions, the AHP method has advantages in testing the consistency of criteria assessment results [12][13] [14] [15]. The use of the consistency index has also been used in several previous studies on multi-criteria-based decisions to measure the performance of SMEs [15] [16] [17].
In determining selection and recommendation of salt farmers, TOPSIS method is capable and suitable for multicriteria decision-making based on the Euclidian distance method. TOPSIS has a calculation concept that is simple, easy to understand, and computationally efficient [18] [19]. AHP and TOPSIS methods have been widely used in solving decision-making problems. Several studies have used a hybrid method of AHP and TOPSIS to evaluate and select software quality [18][20] [21]. Several studies have used a hybrid method of AHP and TOPSIS to evaluate and select software quality [6] [21] [22]. Several journals use the fuzzy method to handle data that contains uncertainty and inaccuracies, fuzzy method is also hybridized with AHP, ANP, and TOPSIS for weighting and data selection [23] [24][14] [4]. This research uses a hybrid Fuzzy multi-criteria method and an optimization model using Mathematical Optimization Programming (MOP). FAHP was used for weighting allocation water, Fuzzy TOPSIS method was used to determine the best performance of various water resources [25].
Based on previous research, there has been no research on salt mapping using the interval fuzzy type-2 method, the indicators used are also different because they are adjusted to conditions and needs of the Sampang Madura area. The contribution of this research is mapping salt farmers using a decision-making model based on group by optimizing decisions based on a modification of the Triangular Fuzzy Number (TFN) interval point. The decisions made based on group decision-making have a higher consensus than individual decisions [10] [26]. Therefore, this study uses an integration of fuzzy type-2 AHP, TOPSIS method to determine the most influential indicators and recommendations for improvement salt farmer facing the Covid-19 pandemic.

Interval type-2 Fuzzy Sets
The fuzzy theory was first conveyed by Zadeh (1975). Fuzzy Interval Type 2 is an extension of fuzzy type-1. Fuzzy theory is also called fuzzy type-1, this theory can handle the problem of uncertainty in the data by having membership functions and linguistic variables. When compared to fuzzy type-1, interval type-2 fuzzy provides more accurate modeling, better rating value performance, and high flexibility. type-2 fuzzy is suitable for MCDM-based decision-making problems for real problems, can handle more judgments for data that has uncertainty and subjectivity. Type-2 fuzzy is widely applied in the real world because it contains computational stages that are easier to implement. Interval type-2 Fuzzy Sets A  in the universe of discourse X as follows: 2. The Subtraction operation of different Interval TFN C, K:    The decision-making model in interval TFN with different middle points where ml > mu point is shown in Figure 4.

Construction of K Matrix.
This is the interval type-2 FTOPSIS method step, while steps 1 to 5 are interval type-2 FAHP method. This step refers to number 2 based on the Interval Triangular Fuzzy Number model, alternative decision matrix against criteria denoted by K can be stated as follows: The distance each alternative from negative ideal solution is denoted by i d − which is expressed as follows: The average relative proximity is denoted by i RC which is stated as follows:  Table 1. By using the same middle point on the Triangular Fuzzy Number (TFN). The most important 5. After determining the membership function of fuzzy TFN type-2 interval and the linguistic scale, the next step is to conduct a questionnaire to 3 assessors, namely fisheries and marine service, the head of a farmer group, and the salt expert team. because this research is based on a support system group, this study uses 3 assessors, as shown in Table 2, Table 3, Table 4.
Next is to determine calculations of several raters using the Geometric Means Aggregation method, which is shown in Table 5. After determining Geometric Means Aggregation (GMA), proceed with calculating weighted normalization as in Table 6. The final step is the fuzzification process used to determine the weight of each Criteria in Table 7.      Based on Table 7 Table 8. The fuzzy type-2 interval membership function for alternative (Salt Farmer) in Figure 3. Determine same middle point linguistic scale for assessment of salt farmers can be seen in Table 9.       Table 11. Data for each salt farmer for criteria A3 and A4     Table 17. Negative Ideal Solution 10. Calculate the relative proximity distance. The relative proximity of the ideal solution and average relative proximity is denoted by i RC can be seen in can be seen in Table 18.

CONCLUSION
The conclusion of this research is that indicators most influence recommendation salt farmer are marketing models, production yields and profit. The integration of interval fuzzy type-2 AHP and TOPSIS is suitable for salt farmer map recommendations and type-2 fuzzy interval method has a yield range between one alternative and another which is smaller than fuzzy type-1. The results of recommendations salt farmer stated that 45% received good, 35% entered into moderate and 20 % entered into bad recommendations. This research can be developed with different case studies and method can also be developed using a trapezoid fuzzy type-2.