Real world data analysis is often affected by different type of errors as: measurement errors, computation errors, imprecision related to the method adopted for estimating the data (parameters). The uncertainty in the data, which is strictly connected to the above errors, may be treated by considering, rather than a single value for each data, the interval of values in which it may fall: the in...

We first introduce the concept of interval-valued neutrosophic competition graphs. We then discuss certain types, including kcompetition interval-valued neutrosophic graphs, p-competition intervalvalued neutrosophic graphs and m-step interval-valued neutrosophic competition graphs. Moreover, we present the concept of m-step intervalvalued neutrosophic neighbourhood graphs. 2010 AMS Classificati...

Matrices play important roles in various areas in science and engineering. The classical matrix theory can not solve the problems involving various types of uncertainties. That type of problems are solved by using fuzzy matrix [14]. Later much works have been done by many researchers. Fuzzy matrix deals with only membership values. These matrices can not deal non membership values. Intuitionist...

We have developed a syntactic approach to representing knowledge within the situation calculus using interval arithmetic. Knowledge was first incorporated into the situation calculus using a possible-worlds approach. Unfortunately, this previous approach is not amenable to easy implementation. This is because it is not clear how to specify the initial situation as the number of possible worlds ...

Influence diagrams are probabilistic graphical models used to represent and solve sequential decision problems under uncertainty. Sharp numerical values are required to quantify probabilities and utilities. This might be an issue with real models, whose parameters are typically obtained from expert judgements or partially reliable data. We consider an interval-valued quantification of the param...

Recent research is recognizing that multiple criteria analysis should take account of the concepts of uncertainty and risk. In some cases, precise determination of the exact value of alternatives and weights of criteria is difficult. Consequently, to deal with these potential problems, their values are regarded as fuzzy and intervals. This paper proposes an interval-valued fuzzy multiple criter...

This paper proposes an improved score function for the effective ranking order of interval-valued intuitionistic fuzzy sets (IVIFSs) and an interval-valued intuitionistic fuzzy TOPSIS method based on the score function to solve multicriteria decision-making problems in which all the preference information provided by decision-makers is expressed as interval-valued intuitionistic fuzzy decision ...

background: qt interval parameters have been suggested as a predictor of lethal arrhythmia and mortality in patients with myocardial infarction. the aim of the present study was to compare the value of qt interval indices in patients presenting with non-st-segment elevation myocardial infarction (nstemi) between a group of patients with type 2 diabetes mellitus and a nondiabetic group of patien...

We list two kinds of gradation of openness and we study in the sense of the followings: (i) We give the definition of IVGO of fuzzy sets and obtain some basic results. (ii) We give the definition of interval-valued gradation of clopeness and obtain some properties. (iii) We give the definition of a subspace of an interval-valued smooth topological space and obtain some properties. (iv) We inves...