This paper deals with the problem of the aggregation of implication functions. After characterizing those binary operations which merge two implication functions into a new implication function, we study some aspects of the aggregated implication functions in terms of the two given ones. In particular, we are interested in aggregation processes such that properties of the implication functions ...

General Epistemic Logics suffer from the problem of logical omniscience, which is that an agent’s knowledge and beliefs are closed under implication. There have been many attempts to solve the problem of logical omniscience. However, according to our intuition, sometimes an agent’s knowledge and beliefs are indeed closed under implication. Based on the notion of awareness, we introduce two kind...

in this paper, the notion of fuzzy semicompactness degrees isintroduced in $l$-fuzzy topological spaces by means of theimplication operation of $l$. characterizations of fuzzysemicompactness degrees in $l$-fuzzy topological spaces  areobtained, and some properties of fuzzy semicompactness degrees areresearched.

in this paper, we firstly show that the $n$-dual operation of the right residual implication, which is induced by a left-conjunctive right arbitrary $vee$-distributive left semi-uninorm, is the right residual coimplication induced by its $n$-dual operation. as a dual result, the $n$-dual operation of the right residual coimplication, which is induced by a left-disjunctive right arbitrary $wedge...

An air pollutant consists of any atmospheric substance that may harm humans, animals, vegetation or material. Various air pollutants have been reported, differing in their physicochemical characteristics. They can be grouped into four categories: gaseous pollutants (e.g. ozone, sulfur dioxide, oxides of nitrogen, carbon monoxide and volatile organic compounds), persistent organic pollutants, he...

Applying the idea of soft set theory to lattice implication algebras, the novel concept of (implicative) filteristic soft lattice implication algebras which related to (implicative) filter(for short, (IF -)F -soft lattice implication algebras) are introduced. Basic properties of (IF -)F -soft lattice implication algebras are derived. Two kinds of fuzzy filters (i.e.(∈,∈ ∨qk)((∈,∈ ∨ qk))-fuzzy (...

The study aimed to compare health status and lifestyle in university students. The participants were college freshmen from physical education majors (N = 195, Mean = 20.9, SD = 1.87) and the school of Urban and Environmental majors (N = 195, Mean = 21.73, SD = 0.93) in Dalian, China. The Diagnostic Inventory of Health and Life habit (DIHAL.2) scale (Tokunaga, 2003) was administered to all parti...