We distinguish three types of uncertainty: the probabilistic, the quantum and the fuzzy uncertainty. In these three contexts, we use diierent mathematical models to describe the event structures | the Boolean, the quantum and the fuzzy logics. We deene states in a uniform way as valuations. Let us ask the following question: If a; b are two elements of a (Boolean, quantum, fuzzy, resp.) logic L...

in this paper, we present a revised similarity measure based onchen-and-chen's similarity measure for fuzzy risk analysis. the revisedsimilarity measure uses the corrected formulae to calculate the centre ofgravity points, therefore it is more  effective than the chen-and-chen'smethod. the revised similarity measure can overcome the drawbacks of theexisting methods. we have also proposed a new ...

Estimation of the potential willingness state to use military force is an integral part analysis international relations and preparation key decisions in security sphere. Our problem was develop a method for numerically estimating any force. This should take into account large number quantitative qualitative criteria, uncertainty their relationships, as well initial data, some which can only be...

In this paper, two generalized hesitant fuzzy generalized Shapley-Choquet integral operators are defined, which globally consider the importance of elements in a set, and the correlations among them. Some important special cases are examined. An improvement order relationship between hesitant fuzzy elements (HFEs) is introduced, and a new distance measure of HFSs is defined. This distance measu...

Recently, a new model based on Pythagorean fuzzy set (PFS) has been presented to manage the uncertainty in real-world decision-making problems. PFS has much stronger ability than intuitionistic fuzzy set to model such uncertainty. In this paper, we define some novel operational laws of PFSs and discuss their desirable properties. For the multicriteria decision-making problems with PFSs, we prop...

nowadays, by the expansion of information technology in human life and dependence of business upon it, data protection, as one the most valuable and critical assets of the organization, has become the vital tool of modern industry and prerequisite for sustaining business process. in order to face the challenges and to take advantage of new opportunities brought forth by it advances we suggest o...

Route planning problems are among the activities that have the highest impact on logistical planning, transport and distribution because of their effects on efficiency in resource management, service levels, and client satisfaction. The difficulty of movement between different customers and other problems cause the uncertainty of time of movement. In this paper this uncertainty is presented by ...

Interval type-2 fuzzy set (IT2FS) offers interesting avenue to handle high order information and uncertainty in decision support system (DSS) when dealing with both extrinsic and intrinsic aspects of uncertainty. Recently, multiple attribute decision making (MADM) problems with interval type-2 fuzzy information have received increasing attentions both from researchers and practitioners. As a re...