Gupta and Ray (Fuzzy Sets and Systems 54 (1993) 191) introduced the notion of fuzzy projective planes. We show that an old theorem of Dembowski classi$es all $nite fuzzy projective planes, that the examples in Gupta and Ray (Fuzzy Sets and Systems 54 (1993) 191) arise from ordinary projective planes and have much easier descriptions that can easily be generalized, and that there exist fuzzy pro...

This paper presents a method focused on assessing the uniqueness of the DC solution of mos-transistor networks. The method is based on purely topological conditions of the network graph, and it is based on identifying positive feedback structures (PFSs) by resorting to the definitions given by Hasler. The topological conditions for the existence of PFSs at nullator & norator level are established.

Abstract Picture fuzzy set (PFS) is a direct generalization of the sets (FSs) and intuitionistic (IFSs). The concept PFS suitable to model situations that involve more answers type yes, no, abstain, refuse. In this study, we introduce novel picture (PF) distance measure on basis operation functions membership, non-membership, neutrality, refusal, upper bound function membership two PFSs. We con...

The web can be perceived as a huge repository of items, and users’ activities can be seen as processes of searching for items of interest. Recommender systems try to estimate what items users may like based on similarities between users, their activities, or on explicitly specified preferences. Users do not have any influence on item selection processes. In this paper we propose a novel collabo...

Periodic fever syndromes (PFSs) comprise a subset of the hereditary autoinflammatory disorders that are defined by recurrent self-resolving attacks of systemic inflammatory reactions in the absence of infection or autoimmunity. Recent advances have led to the discovery that members of a new family of genes, the PYRIN family, account for several hereditary PFSs. Here we discuss new insights into...

Powerset structures of extensional fuzzy sets in sets with similarity relations are investigated. It is proved that extensional fuzzy sets have powerset structures which are powerset theories in the category of sets with similarity relations, and some of these powerset theories are defined also by algebraic theories (monads). Between Zadeh's fuzzy powerset theory and the classical powerset theo...

We consider a multiple-rule, generalized modus ponens inference scheme, with an interpretation based on compositional rule of inference (CRI) and a residuated implication. We show that such a system is equivalent, as far as CRI is concerned, to a system that satis5es the “basic requirement for fuzzy reasoning”, proposed by Turksen and Tian (Fuzzy Sets and Systems 58 (1993) 3–40). We establish a...