In this paper, countable compactness and the Lindel¨of propertyare defined for L-fuzzy sets, where L is a complete de Morgan algebra. Theydon’t rely on the structure of the basis lattice L and no distributivity is requiredin L. A fuzzy compact L-set is countably compact and has the Lindel¨ofproperty. An L-set having the Lindel¨of property is countably compact if andonly if it is fuzzy compact. ...

We study Gibbs properties of the fuzzy Potts model in the mean field case (i.e. on a complete graph) and on trees. For the mean field case, a complete characterization of the set of temperatures for which non-Gibbsianness happens is given. The results for trees are somewhat less explicit, but we do show for general trees that nonGibbsianness of the fuzzy Potts model happens exactly for those te...

In the piece of this note, we mention various Suzuki-type fuzzy contractive inequalities in 1-Z-complete metric-like spaces for uniqueness and existence a fixed point prove few theorems, which are appropriate generalizations some latest famed results literature. Mainly, generalize Θ-contraction terms also ϓ-contractive mapping view Suzuki-type. For new group functions, acceptable conditions for...

In this paper, we shall establish some fixed point theorems for mappings with the contractive  condition of integrable type on complete intuitionistic fuzzy metric spaces $(X, M,N,*,lozenge)$. We also use Lebesgue-integrable mapping to obtain new results. Akram, Zafar, and Siddiqui introduced the notion of $A$-contraction mapping on metric space. In this paper by using the main idea of the work...

In this dissertation, we study the picture fuzzy graph (PFG) in decision-making problem based on relation and some types of graphs such as complete graphs, strong complement are described also Pythagorean decision making environment. Further, present an application Fuzzy Graphs Picture

This paper proposes a general discussion of the handling of imprecise and uncertain information in temporal reasoning in the framework of fuzzy sets and possibility theory. The introduction of fuzzy features in temporal reasoning can be related to different issues. First, it can be motivated by the need of a gradual, linguistic-like description of temporal relations even in the face of complete...

Recently, Molodtsov [12] introduced the soft set as a mathematical tool for dealing information as the uncertainty of data in engineering, physics, computer sciences and many other diverse field. Presently, the soft set theory is making progress rapidly [1,3]. Pawlak’s rough set [13,14] can be viewed as a special case of soft rough sets [3]. The topological structures of soft sets have been dev...

Collaborative agents are able to find global solutions to complex systems using local knowledge rather than a complete global knowledge set. The complexity, on the other hand, brings uncertainty. Global optimisation in a uncertain environment can be undertaken using fuzzy collaborative agents. Negotiation, involving generating, evaluating and modifying action plans, under fuzzy circumstance is ...

In this note, by considering the notions of the intuitionistic general L-fuzzy automaton and $(alpha, beta)$-language, we show that for any $(alpha, beta)$-language $mathcal{L}$, there exists a minimal intuitionistic general L-fuzzy automaton recognizing $mathcal{L}$.We prove that the minimal intuitionistic general L-fuzzy automaton is isomorphic with threshold $(alpha,beta)$ to any $(alpha, be...