Mathematical morphology is based on the algebraic framework of complete lattices and adjunctions, which endows it with strong properties and allows for multiple extensions. In particular, extensions to fuzzy sets of the main morphological operators, such as dilation and erosion, can be done while preserving all properties of these operators. Another, more recent, extension, concerns bipolar fuz...

In this paper, we develop some new operational laws and their corresponding aggregation operators for picture fuzzy sets ( PFSs ). PFS is a powerful tool to deal with vagueness, which generalization of set intuitionistic (IFS). can model uncertainty in such situations, consist more than two answers like yes, refusal, neutral, no. The operations t-norm t- conorms , developed by Frank, are usuall...

Abstract The distribution of emergency shelter materials in cases around the world is a hard task, goal this research to offer Complex Non-linear Diophantine Fuzzy (C-NLDF) decision-making model for earthquake construction. Essentially, article divided into three sections acquire acceptable and precise measures situations. First, we present Non-Linear Set (CN-LDFS), new generalization complex l...

The collection of Hamacher t-norms was created by in 1970, which played a critical and significant role computing aggregation operators. All operators that are derived based on norms very powerful beneficial because the parameter 0≤ζ≤+∞. Choquet first posited theory integral (CI) 1953, is used for evaluating awkward unreliable information to address real-life problems. In this manuscript, we an...

In fuzzy artificial intelligent decision support systems, three-way intelligent-decision making (TWIDM) has played a very important role in ranking objects under the double hierarchy linguistic variable (DHLV). The 8 × S-boxes are for image encryption secure communication. Therefore, aim of present study is to develop new approach via DHLV and apply it S-box encryption. Artificial based decisio...

we study interior operators and interior structures in a fuzzy setting.we investigate systems of “almost open” fuzzy sets and the relationshipsto fuzzy interior operators and fuzzy interior systems.

in this work, we define fuzzy soft ($fs$) matrices and theiroperations which are more functional to make theoretical studies inthe $fs$-set theory. we then define products of $fs$-matrices andstudy their properties. we finally construct a $fs$-$max$-$min$decision making method which can be successfully applied to theproblems that contain uncertainties.

Many aggregation operators are studied to deal with multi-criteria group decision-making problems. Whenever information has two aspects, intuitionistic fuzzy sets and Pythagorean employed handle the information. However, q-rung orthopair more flexible suitable because they cover widely. The current paper primarily focuses on technique based prioritization robust Aczel–Alsina t-norm t-conorm. Th...