The analysis of fuzzy(overlapping) community structure in complex networks is an important problem in data mining of network data sets. However, due to the exist of random factors and error edges in real networks, how to measure the significance of community structure efficiently is a crucial question. In this paper, we present a novel statistical framework comparing the significance of fuzzy c...

Fuzzy sets are naturally ordered by the subsethood relation A ⊆ B. If we only know which set which fuzzy set is a subset of which – and have no access to the actual values of the corresponding membership functions – can we detect which fuzzy sets are crisp? In this paper, we show that this is indeed possible. We also show that if we start with interval-valued fuzzy sets, then we can similarly d...

Community structure is an important feature of complex networks and social network communities refer to groups of individuals within which social interactions are intense and between which they are weak. Community detection algorithms answer a wide range of questions regarding the behavior and interaction patterns of people. Usually, communities in social network can overlap with each other. De...

based on existence of the chromite deposits in the sistan and baluchestan province in iran, and also various applications of chromite in different industries, it is expected that the establishment of chromite processing plant is required in the erelong. the geographical location of a processing plant can have a strong influence on the success of an industrial venture. the processing plant site ...

Mathematical Fuzzy Logic (MFL) is the subdiscipline of mathematical logic devoted to the study of formal systems of fuzzy logic. It has been a fairly active research field for more than two decades, since scholars undertook the task of providing solid formal foundations for deductive systems arising from Fuzzy Set Theory by realizing that these systems could be seen as a special kind of many-va...

In this work we place some of the traditional biometrics work on fingerprint verification via the fuzzy vault scheme within a cryptographic framework. We show that the breaking of a fuzzy vault leads to decoding of Reed-Solomon codes from random errors, which has been proposed as a hard problem in the cryptography community. We provide a security parameter for the fuzzy vault in terms of the de...

As demand for high quality transmission increases, improving spectrum efficiency and error performance in wireless communication systems are important. OFDM is a multi-carrier modulation technique with densely spaced sub-carriers that has gained a lot of popularity among the broadband community in the last few years. One of the promising approaches to next generation communication systems are a...

Decision-theoretic rough set theory (DTRS) is becoming one of the important research directions for studying set approximations using Bayesian decision procedure and probability theory in rough set community. In this paper, a novel model, fuzzy multigranulation decision-theoretic rough set model (FM-DTRS), is proposed in terms of inclusion measure of fuzzy rough sets in the viewpoint of fuzzy m...

Fuzzy Logic has found popularity in the academic community and widespread use in the industry due to ever increasing complexities in systems, at the core of which lies vagueness, uncertainty and imprecision in information. The proposition of fuzzy set theory, specifically Fuzzy Inference Systems (FIS) led to an explosion of its application in diverse fields including manufacturing especially ma...