The objective of this paper is to compare probabilistic models and fuzzy set models for design against uncertainty when there is limited information about the statistics of the uncertainty or modeling error. First, we compare the axioms of probabilistic and fuzzy set methods and the rules governing the arithmetic operations that these methods use. Then, we compare the two methods in designing f...

The probabilistic fuzzy set (PFS) and the related probabilistic fuzzy logic system (PFLS) are designed for handling the uncertainties in both stochastic and nonstochastic nature. In this paper, a novel probabilistic fuzzy set is proposed by randomly varying widths of the Gaussian membership function. Then the related PFLS is constructed and applied to logistics manipulator system problem to stu...

This paper reviews non-probabilistic approaches of modelling uncertainty, particularly in flood forecasting and introduces a fuzzy set theory-based method for treating precipitation uncertainty in rainfall-runoff modelling, which allows the temporal and/or spatial disaggregation of precipitation. The results of the fuzzy set theory-based method are compared with the probabilistic approach using...

Scientific and technological papers play a fundamental role in the scientific and technological innovation of countries. The quality control of scientific and technological articles is vital to the journals and management of personnel. This paper investigates multiple attribute decision-making problems with the application of hesitant fuzzy uncertain linguistic information. Motivated by the ide...

Abstract The hesitant fuzzy set has been an important tool to address problems of decision making. There are several various improved sets, such as dual set, interval-valued and intuitionistic however, no one kind sets could reflect attitude characteristics makers on time-sequences. In reality, time-sequence is sector situations might have different knowledges the same alternative at moments. T...