The aim of this paper is investigate the notion of a generalized interval valued intuitionistic fuzzy number (GIVIFN), which extends the interval valuedintuitionistic fuzzy number. Firstly, the concept of GIVIFNBs is introduced.Arithmetic operations and cut sets over GIVIFNBBs are investigated. Then the values and ambiguities of the membership degree and the non-membership degree and the value ...

Non-equidistance grey model NGM(1,1) which was proposed by Deng has emerged as a powerful tool for the prediction and analysis of non-equidistance data series under uncertain system. It carries out the system analysis and prediction based on accumulated generating operation (AGO) to reduce the randomness of original series and obtain high accuracy. But the AGO only used observed whitening data,...

the planning of production and control of inventory problem is one of most important problems that companies are face with them. some times inattention to uncertainty in these problems causes to increase of costs of inventory control systems. one of the important ways encountering to uncertainty is the widespread of fuzzy sets instead of crisp numbers because in this approach, we can determine ...

Some decision-making problems, i.e., multi-criteria decision analysis (MCDA) require taking into account the attitudes of a large number decision-makers and/or respondents. Therefore, an approach to transformation crisp ratings, collected from respondents, in grey interval numbers form based on median scores, is considered this article. In way, simplicity collecting respondents’ using values, b...

In this work, we shall present some novel process to measure the similarity between picture fuzzy sets. Firstly, we adopt the concept of intuitionistic fuzzy sets, interval-valued intuitionistic fuzzy sets and picture fuzzy sets. Secondly, we develop some similarity measures between picture fuzzy sets, such as, cosine similarity measure, weighted cosine similarity measure, set-theoretic similar...

Since the implementation of sustainable development strategy, China has made great efforts to save water resources. Therefore, effective prediction and analysis regional consumption are very important for economy. In order forecast requirement five provinces in North China, DGMC(1,2) model is proposed predict point value by considering three industries population. The results turn out that an e...

rapid technological and economic growth over the last several decades has changed human lives and made modern society face complex decision making problems. these kinds of problems are characterized by incommensurate and conflicting criteria or objectives such as cost, reliability, performance, safety and productivity. multi criteria decision making is an approach that can be used to deal compl...

Uncertainties in a control system may be the results modeling errors, measurement errors, parameter variations and a linearization approximation. Most physical dynamical systems and industrial process can be described as discrete time uncertain subsystems. Similarly, the unavoidable computation delay may cause a delay time, which can be considered as timedelay in the input part of the original ...