in this paper, rst a design is proposed for representing fuzzy polynomials withinput fuzzy and output fuzzy. then, we sketch a constructive proof for existenceof such polynomial which can be fuzzy interpolation polynomial in a set given ofdiscrete points rather than a fuzzy function. finally, to illustrate some numericalexamples are solved.

In this paper we discuss on some different representations of the cardinality of a fuzzy set and their use in fuzzy quantification. We have considered the widely employed sigma-count, fuzzy numbers, and gradual numbers. Gradual numbers assign numbers to values of a relevance scale, typically [0,1]. Contrary to sigma-count and fuzzy numbers, they provide a precise representation of the cardinali...

maji et al. introduced the concept of fuzzy soft sets as a generalization of the standard soft sets and presented an application of fuzzy soft sets in a decision making problem. in this paper, we apply fuzzy soft sets to  -hyperrings. the concept of ( , q )       -fuzzy soft  -hyperideals of  -hyperrings is first introduced. some new characterizations are investigated. in particular, a...

The theory of fuzzy bipolar soft sets is an efficient extension for depicting the bipolarity uncertain information; however, it limited to a single expert. present research article introduces innovative hybrid model called expert sets, as natural two existing models (including and sets). proposed highly suitable describing information having multiple opinions. Some fundamental properties develo...

In many real-life problems, decision-making is reckoned as a powerful tool to manipulate the data involving imprecise and vague information. To fix mathematical problems containing more generalized datasets, an emerging model called q-rung orthopair fuzzy soft sets offers comprehensive framework for number of multi-attribute (MADM) situations but this not capable deal effectively with having bi...

The main objective of this research study is to amplify the schematic representation human reasoning by launching most generalized fantastic theories bipolar type-2 fuzzy set (BT2FS) and soft (BT2FS f S). These incredible models are exclusively developed for simultaneous cap...

In this study, we present a technique to solve LR -type fully bipolar fuzzy linear programming problems (FBFLPPs) with equality constraints. We define id="M3"> numbers and their arithmetic operations. discuss multiplication of id="M4"> numbers. Furthermore, develop method id="M5"> FBFLPPs constraints involving id="...