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Heterogeneity in decision making evaluation is inevitable due to different background, preference and experience of decision makers. One aspect of the heterogeneity can be the type of numerical scale used in the evaluation such as crisp, interval, fuzzy and the most recent is the z-number. The calculation will be simpler if these different scales can be represented in a single form. A general form...
In this paper, we propose a novel similarity measure for soft sets which is based on Jaccard similarity coefficient. The proposed similarity measure takes into consideration two component i.e. similarity due to the compared parameter set, and similarity between approximate value sets of the overlapping parameters. The efficiency of the proposed measure is compared with existing soft set similarity...
This paper proposed an integrated fuzzy approach based on Consistent Fuzzy Preference Relations (CFPR) and Generalized TOPSIS. The procedure of CFPR are improved by adapting Centroid-Index as defuzzification operator, in order to represent the whole set of fuzzy numbers correctly. The CFPR requires only (n-1) pair-wise comparisons for n given criteria, where this situation prove that the increasing...
Ranking of fuzzy numbers is an important procedure for many applications in fuzzy theory, in particular, decision-making. In this paper, we propose a new method for ranking fuzzy numbers based on Dice set theoretic index. The Hurwicz criterion which considers all types of decision makers' perspective is employed in aggregating the fuzzy total evidences. The properties of the proposed method are also...
Human-based industrial decision making normally involves both quantitative and qualitative input factors. Subjectiveness in human evaluation is unavoidable in the decision making process. In fuzzy-based industrial decision making environment where fuzzy numbers are used to evaluate subjective factors, ranking of fuzzy numbers become one of the crucial component which need to be performed before the...
Ranking fuzzy numbers correctly is essential especially in decision making process. Many techniques of ranking fuzzy numbers have been investigated using variety of approaches. However, most of the techniques have weaknesses one way or another. In this paper, we propose a new method of ranking fuzzy numbers using similarity measure approach with centroid. We investigate its ranking consistency compares...
This paper presents a preliminary study on conventional Jaccard Distance performance in recognizing shapes with and without pre processing tasks. This study also identified the pre processing tasks that should be conducted to improve recognition performance. Jaccard Distance is performed by measuring the asymmetric information on binary variable and the comparison between vectors component. It compared...
Analytic Hierarchy Process or better known as AHP is the method of structuring, measuring, and synthesizing numerous judgments in finding solutions to decision making problems. There are three common methods of determining the criteria weights in AHP; extent analysis, logarithmic least square method (LLSM), and Lambda-Max. This paper identifies the strengths and weaknesses of these three methods based...
This paper describes an adaptation of a methodology called mutual interrogation to an ethnomathematical study on weaving among the Malay tudung saji or food cover weavers. The interrogation was focussed on investigating the mathematical ideas that are relevant to the weaving techniques, framework construction and pattern formation. Using this approach, a three-phase dialogue between several weavers...
The fuzzy evaluation method which used fuzzy linguistic variables throughout the procedure and aggregated the fuzzy numbers based on the standard score concept has been proposed by [1]. The method applied the centroid concept in ranking the alternatives. Although the centroid concept which is a class of mapping fuzzy numbers into single point or known as defuzzification is relatively simple and easy...
In recent years, intelligent techniques like Artificial Neural Network (ANN) and Fuzzy Logic (FL) have been adopted and tested to solve the real-world problems. The combination of those two powerful approaches has resulted in the emergence of Adaptive Neuro-Fuzzy Inference System (ANFIS). ANFIS itself has achieved a rapid growth in its numbers of applications especially in control system, decision...
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