In the present paper, we introduce the fuzzy Nehring axiom, fuzzy Sen axiom and weaker form of the weak fuzzycongruence axiom. We establish interrelations between these axioms and their relation with fuzzy Chernoff axiom. Weexpress full rationality of a fuzzy choice function using these axioms along with the fuzzy Chernoff axiom.

This paper tries to study the effect of geosynthetic inclusion on the improvement of the load-settlement characters of two layered soil. In addition, the effect of geogrid and geotextile in reduction of the required thickness of subbase layer in unpaved roads is studied. Considering the vast application of bearing ratio tests in road construction projects, this test is used in present investiga...

S[ and Sg are then said to separate (or: to screen) S± and S2. Finally, Sf is called a binary subbase if each linked system S^ (zS^ (i.e., a subcollection S^' of ^ of which any two members meet) satisfies ς\Sf'φ 0. It is well-known that a binary subbase is TΊ (cf. van Mill [9, Lemma 1]), that a space carrying a binary subbase is compact (use Alexander's lemma), and that a space is completely re...

The existing topological representation of an orthocomplemented lattice via the clopen orthoregular subsets a Stone space depends upon Alexander’s Subbase Theorem, which asserts that X is compact if every subbasic open cover admits finite subcover. This easy consequence Ultrafilter Theorem—whose proof Zorn’s Lemma, well known to be equivalent Axiom Choice. Within this work, we give choice-free ...

Based on a completely distributive lattice $M$, base axioms and subbase axioms are introduced in $M$-fuzzifying convex spaces. It is shown that a mapping $mathscr{B}$ (resp. $varphi$) with the base axioms (resp. subbase axioms) can induce a unique $M$-fuzzifying convex structure with  $mathscr{B}$ (resp. $varphi$) as its base (resp. subbase). As applications, it is proved that bases and subbase...

Concrete block pavement (CBP) is a durable pavement for carrying light as well as heavy loads, and it is being used widely for construction of city streets, parking places, gas stations, container stacking yards, residential areas and low volume roads. This paper presents the findings of a laboratory investigation on structural behaviour of CBP. Plate load and Accelerated Pavement tests were ca...

The high cost of landfilling and the potential uses of waste foundry sands have prompted research into their beneficial reuse. Roadways have a high potential for large volume usage of the foundry sands. A laboratory testing program was conducted on soil-foundry sand mixtures amended with cement and lime to assess their applicability as highway subbase materials. The mixtures were compacted in t...

Cold in-place recycling (CIR) technologies are becoming one of the main bets in road sector to promote reduction greenhouse gas emissions. This technique also contributes circular economy, reusing 100% RAP from worn roads. In this research, numerical simulations CIR sections presented. The nonlinear behaviour CIR-base material is modelled using three predictive models based on triaxial test res...

The main goal of this paper is to introduce a new bitopological approaches to rough sets. Suggested approaches depend on two topologies, generated by a general relation. The first topology is a right topology whose subbase is the family of right neighborhoods and a subbase of the other topology, left topology, is the family of left neighborhoods, with respect to that general relation. Some Pawl...