in this paper, we use the parametric form of fuzzy numbers, and aniterative approach for obtaining approximate solution for a classof fuzzy nonlinear fredholm integral equations of the second kindis proposed. this paper presents a method based on newton-cotesmethods with positive coefficient. then we obtain approximatesolution of the fuzzy nonlinear integral equations by an iterativeapproach.

Rough set (RS) and fuzzy (FS) theories were developed to account for ambiguity in the data processing. The most persuasive modernist abstraction of an FS is linear Diophantine (LD-FS). This paper introduces a resilient hybrid RS model (LDF-RS) on paired universes based relation (LDF-R). typical method (F-RS) bipolar FRS (BF-RS) two that are more appropriate customizable. By using LDF-level cut ...

Neutrosophic theory has many applications in graph theory, bipolar single valued neutrosophic graphs (BSVNGs) is the generalization of fuzzy graphs and intuitionistic fuzzy graphs, SVNGs. In this paper we introduce some types of BSVNGs, such as subdivision BSVNGs, middle BSVNGs, total BSVNGs and bipolar single valued neutrosophic line graphs (BSVNLGs), also investigate the isomorphism, co weak ...

In this note, we show by examples that Definitions 3.1, 5.6, and 5.7, Example 5.8, Propositions 5.9 and 5.10, and partial proof of Propositions 5.11 and 5.12 in a previous paper by Akram (Muhammad Akram, Bipolar fuzzy graphs, Inform. Sci. 181 (2011) 5548–5564) contain some flaws and then provide the correct versions. Finally, we introduce a generalized bipolar fuzzy graph. 2013 Elsevier Inc. Al...

in this paper, we define the concepts of a complex fuzzy subset and a complex fuzzy finite state automaton. then we extend the notion of a complex fuzzy finite state automaton and introduce the notion of a general complex fuzzy automaton. after that we define the concept of a max- min general complex fuzzy automaton and construct some equivalence relations and some congruence relations in a max...

We introduce the concept of bipolar (λ, δ)-fuzzification of a ternary semigroup and discuss some structural properties of bipolar (λ, δ)-fuzzy ideals of a ternary semigroup. Mathematics Subject Classification: 20N10, 20M12, 03E72