The concept of fuzzy random variable has been applied in several papers to model the present value of life insurance liabilities. It allows the fuzzy uncertainty of the interest rate and the probabilistic behaviour of mortality to be used throughout the valuation process without any loss of information. Using this framework, and considering a triangular interest rate, this paper develops closed...

Techniques of information aggregation are mainly being used in decision making or when a system needs a comprehensive representation of its application domain. Recently, aggregation operators have been also applied for defuzzification where the defuzzified value is calculated as an aggregation of all possible solutions according to their attached possibility. In this paper we propose and analyz...

Fuzzy risk analysis, as a powerful tool to address uncertain information, can provide an appropriate method for risk analysis. However, the previous fuzzy risk analysis methods still have some weaknesses. To overcome the weaknesses of existing fuzzy risk analysis methods, a novel method for ranking generalized fuzzy numbers is proposed for addressing fuzzy risk analysis problems. In the propose...

This article deals with the new approach of finding defuzzification / ranking index various types fuzzy sets. Traditionally, in most articles on decision making methods are not justified respect to that highest aspiration levels. study highlights an efficient (ranking) method which links between gaps defuzzified values obtained using ?-cuts and without numbers. Moreover, for a given problem dif...

Copyright: © 2014 Nazim M, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Abstract In today competitive trade world, the managers most important concern are to make their firms viable and looking effec...

Computing the centroid of a type-2 fuzzy set (T2 FS) is an important operation for such sets. For an interval T2 FS, the centroid can be computed by using two iterative procedures that were developed by Karnik and Mendel [2]. In this paper, we prove that if the footprint of uncertainty for an interval T2 FS is symmetrical about the primary variable y at y = m , then the centroid is also symmetr...

Computing the centroid of a type-2 fuzzy set (T2 FS) is an important operation for such sets. For an interval T2 FS, the centroid can be computed by using two iterative procedures that were developed by Karnik and Mendel [2]. In this paper, we prove that if the footprint of uncertainty for an interval T2 FS is symmetrical about the primary variable y at y=m, then the centroid is also symmetrica...

This paper presents the theory and design of interval type-2 fuzzy logic systems (FLSs) because of computational complexity of using general type-2 fuzzy set (T2FS) in type-2 fuzzy system. We propose an efficient and simplified method to compute the input and antecedent operations for interval type-2 FLSs; one that is based on a general inference formula for them. We introduce the concept of up...

We introduce a type-2 fuzzy logic system (FLS), which can handle rule uncertainties. The implementation of this type-2 FLS involves the operations of fuzzification, inference, and output processing. We focus on “output processing,” which consists of type reduction and defuzzification. Type-reduction methods are extended versions of type-1 defuzzification methods. Type reduction captures more in...

This paper presents an extension of the multimode resource-constrained project scheduling problem for a large scale construction project where multiple parallel projects and a fuzzy random environment are considered. By taking into account the most typical goals in project management, a cost/weighted makespan/quality trade-off optimization model is constructed. To deal with the uncertainties, a...