Fuzzy sets and logic have been largely used for the treatment of the uncertainty, vagueness and ambiguity found in the modeling of real problems. However, there may exist also the case when there is uncertainty related to the membership functions to be used in the modeling of fuzzy sets and fuzzy numbers, as there are many ways to define the shape of this kind of number. Thus, one can use, for ...

The ability to process multi-digit numbers is an essential skill which we investigated using a number decision task. Subjects were asked to decide whether a target number (e.g., 649) is too small or too large to be the mean between two delimiter numbers that constituted the interval (e.g., 567 and 715). Three-digit numbers were presented vertically with (1) growing interval sizes (i.e., distanc...

Due to the lack of historical data, experts often score risks based on their experience and some linguistic terms in risk assessment, then assessment is essentially a semi-quantitative problem. When risks, scores are possibly related experts’ attitudes. On other hand, used inevitably ambiguous, interval-valued fuzzy numbers can deal with uncertainty better complex situation. So analysis model a...

Over the past 20 years, development of offshore wind farms has become increasingly important across world. One most crucial reasons for that is turbines have higher average speeds than those onshore, producing more electricity. In this study, a new hybrid approach integrating Interval Rough Numbers (IRNs) into Best-Worst Method (BWM) and Measurement Alternatives Ranking according to Compromise ...

The goal of the work. Development methods for performing basic arithmetic operations with interval complex numbers, which are presented in hyperbolic form, their modulus and argument. Results. paper considers method extending numbers defined form (hyperbolic numbers) to field numbers. To do this, real imaginary part a number is number. connections between representation classical CENTER-RADIUS ...

This paper explores the study of Multi-Objective Multi-item Solid Transportation Problem (MMSTP) under fuzzy environment. Realizing impact real-life situations, here we consider MMSTP with parameters, e.g. , transportation cost, supply, and demand, treat as trapezoidal numbers. Trapezoidal numbers are then converted into nearly approximation interval by using (P. Grzegorzewski, Fuzzy Sets Syst....