Abstract:Interval type-2 fuzzy sets (IT2FSs) are useful and valuable tool to describe the decision makers' qualitative evaluation information. This paper designs a novel interval type-2 trapezoidal fuzzy decision-making (IT2TFDM) method, in which the local consistency adjustment strategy (LCAS) and interval type-2 fuzzy data envelopment analysis (DEA) are presented. First, in order to sufficiently describe the uncertain evaluation information, the definition of IT2TrFPRs is introduced, which is followed by the presenta… Show more
“…However, decision makers may be unsure of their preferences but nevertheless be required to express them definitely [ 4 ]. To address this issue, researchers have modeled decision makers’ judgments or preferences by using probabilistic or fuzzy sets [ 13 , 18 , 19 ]. Fuzzy sets have ranges that usually overlap to account for a decision maker’s uncertainty [ 35 , 37 , 39 ].…”
Section: Introductionmentioning
confidence: 99%
“…Fuzzy sets have ranges that usually overlap to account for a decision maker’s uncertainty [ 35 , 37 , 39 ]. Some recent studies have adopted advanced fuzzy numbers of different types with membership, nonmembership, and hesitation functions to provide more flexibility [ 2 , 18 , 31 ].…”
In a fuzzy group decision-making task, when decision makers lack consensus, existing methods either ignore this fact or force a decision maker to modify his/her judgment. However, these actions may be unreasonable. In this study, a fuzzy collaborative intelligence approach that seeks the consensus among experts in a novel way is proposed. Fuzzy collaborative intelligence is the application of biologically inspired fuzzy logic to a group task. The proposed methodology is based on the fact that a decision maker must make a choice even if he/she is uncertain. As a result, the decision maker’s fuzzy judgment matrix may not be able to represent his/her judgment. To solve such a problem, the fuzzy judgment matrix of each decision maker is decomposed into several fuzzy judgment submatrices. From the fuzzy judgment submatrices of all decision makers, a consensus can be easily identified. The proposed fuzzy collaborative intelligence approach and several existing methods have been applied to the case of the post-COVID-19 transformation of a Japanese restaurant in Taiwan. Because such transformation was beyond the expectation of the Japanese restaurant, the employees lacked consensus if existing methods were applied to identify their consensus. The proposed methodology solved this problem. The optimal transformation plan involved increasing the distance between tables, erecting screens between tables, and improving air circulation. In a fuzzy group decision-making task, an acceptable decision cannot be made without the consensus among decision makers. Ignoring this or forcing decision makers to modify their preferences is unreasonable. Identifying the consensus among experts from another point of view is a viable treatment.
“…However, decision makers may be unsure of their preferences but nevertheless be required to express them definitely [ 4 ]. To address this issue, researchers have modeled decision makers’ judgments or preferences by using probabilistic or fuzzy sets [ 13 , 18 , 19 ]. Fuzzy sets have ranges that usually overlap to account for a decision maker’s uncertainty [ 35 , 37 , 39 ].…”
Section: Introductionmentioning
confidence: 99%
“…Fuzzy sets have ranges that usually overlap to account for a decision maker’s uncertainty [ 35 , 37 , 39 ]. Some recent studies have adopted advanced fuzzy numbers of different types with membership, nonmembership, and hesitation functions to provide more flexibility [ 2 , 18 , 31 ].…”
In a fuzzy group decision-making task, when decision makers lack consensus, existing methods either ignore this fact or force a decision maker to modify his/her judgment. However, these actions may be unreasonable. In this study, a fuzzy collaborative intelligence approach that seeks the consensus among experts in a novel way is proposed. Fuzzy collaborative intelligence is the application of biologically inspired fuzzy logic to a group task. The proposed methodology is based on the fact that a decision maker must make a choice even if he/she is uncertain. As a result, the decision maker’s fuzzy judgment matrix may not be able to represent his/her judgment. To solve such a problem, the fuzzy judgment matrix of each decision maker is decomposed into several fuzzy judgment submatrices. From the fuzzy judgment submatrices of all decision makers, a consensus can be easily identified. The proposed fuzzy collaborative intelligence approach and several existing methods have been applied to the case of the post-COVID-19 transformation of a Japanese restaurant in Taiwan. Because such transformation was beyond the expectation of the Japanese restaurant, the employees lacked consensus if existing methods were applied to identify their consensus. The proposed methodology solved this problem. The optimal transformation plan involved increasing the distance between tables, erecting screens between tables, and improving air circulation. In a fuzzy group decision-making task, an acceptable decision cannot be made without the consensus among decision makers. Ignoring this or forcing decision makers to modify their preferences is unreasonable. Identifying the consensus among experts from another point of view is a viable treatment.
“…Through the above analysis and the existed literatures [8]- [10], it is clear that portfolio selection can be abstracted as a multi-criteria decision-making (MCDM) problem in essence, and the expected return and different types of risks are two typical types of evaluation criteria of it. For MCDM problems, in order to deal with the challenges of new factors in the digital age, several novel approaches and techniques have been presented and extended based on some underlying theories, including fuzzy sets [11]- [14], interval theory [15], [16], evidential reasoning [17], [18], multi-perspective framework [19], and group decision-making strategy [20]- [22]. According to whether the decision space is continuous or discrete, MCDM can be subdivided into two parallel contents: multi-objective decision-making (MODM) and multi-attribute decision-making (MADM).…”
On the premise of ensuring profits, how to give a relatively dispersed portfolio selection result reasonably and rapidly is a challenging problem in both theory and practice. Although the use of optimization models to make decision has been shown to be an essential approach towards portfolio selection, there still has an acute need for developing a knowledge-based expert model for portfolio selection so that this model can achieve better performance in reliability and real time, especially in leading more distributed investments. In this paper, a knowledge-based expert model is proposed for portfolio selection with the aid of analytic hierarchy process (AHP) and fuzzy sets. In the proposed model, the expert knowledge which can reflect the investment attitude and experience of different investors is mainly integrated into the criterion layer and represented by a reciprocal matrix, and the scheme layer is abstracted to a strictly consistent matrix by comparing and analyzing the state characteristics of investment objects. In order to characterize the state characteristics of investment objects under fuzzy environment, their corresponding time series data are quantified as fuzzy variables in advance. Experiments involving synthetic and real-world data demonstrate that the proposed model produces better performance than other typical portfolio selection models and gives more distributed investments.INDEX TERMS Decision-making, portfolio selection, analytic hierarchy process (AHP), consistency, expert knowledge.
“…The membership function of Type-2 fuzzy sets is a fuzzy number being bounded in the interval [0-1]. The applications of Type-2 fuzzy sets were studied in many research pieces, such as [11][12][13]. Recently, in the field of decision-making, many studies can be mentioned like considering decision maker's psychological behavior [14], conveying insufficient and underdetermined information [15], developing Pythagorean fuzzy sets to increase the flexibility of fuzzy related problems [16], and supplier selection using interval type-2 fuzzy sets [17].…”
Process industries have the talent of emerging high levels of turbulent behaviors and uncertainties, such as the leakage of toxic substances and explosive materials. Resilience engineering, as a novel approach, can run the effects of such actions. Resilience engineering factors involve culture, change management, knowledge acquisition, risk assessment, readiness, plasticity, reportage, the obligation of a top manager, consciousness, safety procedures, incident survey, employee participation, and competence. The present study aims to investigate resilience engineering in process industries and analyze its efficiency using the data envelopment analysis (DEA) technique. Since there are high levels of uncertainty in the factors, Type-2 fuzzy sets that have a high capability of considering uncertainty is used to analyze the efficiency. The results of this work, which is the first case in evaluating the efficiency of resilience engineering in process industries by DEA and Type-2 fuzzy sets, indicate a robust approach for analyzing the efficiency and identifying the opportunities in process industries.INDEX TERMS Process industries, resilience engineering, data envelopment analysis, Type-2 fuzzy sets.
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