A Fermatean fuzzy set is a more powerful tool to deal with uncertainties in the given information as compared intuitionistic and Pythagorean has energetic applications decision-making. Aggregation operators are very helpful for assessing alternatives decision-making process, their purpose integrate all individual evaluation values into unified form. In this research article, some new aggregatio...

Active Learning Method (ALM) is a soft computing method used for modeling and control based on fuzzy logic. All operators defined for fuzzy sets must serve as either fuzzy S-norm or fuzzy T-norm. Despite being a powerful modeling method, ALM does not possess operators which serve as S-norms and T-norms which deprive it of a profound analytical expression/form. This paper introduces two new oper...

Cubic intuitionistic fuzzy (CIF) set is the hybrid set which can contain much more information to express an interval-valued intuitionistic fuzzy set and an intuitionistic fuzzy set simultaneously for handling the uncertainties in the data. Unfortunately, there has been no research on the aggregation operators on CIF sets so far. Since an aggregation operator is an important mathematical tool i...

A crucial issue related to the Atanassov’s intuitionistic fuzzy operators is how to determine their weights. Various weighted methods have been proposed last decades, but it seems that there is no investigation on the monotonous and proportioninvariant properties, which is decisive for aggregation and comparison of Atanassov’s intuitionistic fuzzy values in group decision making. In this paper,...

in this work, we introduce notion of connectedness on fuzzy soft topological spaces and present fundamentals properties. we also investigate effect to fuzzy soft connectedness. moreover, c_i-connectedness which plays an important role in fuzzy topological space extend to fuzzy soft topological spaces.

Aggregation operators model various operations on fuzzy sets, such as conjunction, disjunction and averaging. Recently double aggregation operators have been introduced; they model multistep aggregation process. The choice of aggregation operators depends on the particular problem, and can be done by fitting the operator to empirical data. We examine fitting general aggregation operators by usi...

This paper presents the fuzzy induced heavy ordered weighted averaging (FIHOWA) operator. It is an aggregation operator that uses the main characteristics of three well known aggregation operators: the heavy OWA, the induced OWA and the fuzzy OWA operator. Therefore, this operator provides a parameterized family of aggregation operators that includes the OWA operator and the total operator as s...

In [14] Yager and Filev introduced the Induced Ordered Weighted Averaging (IOWA) operator. In this paper, we provide some IOWA operators to aggregate fuzzy preference relations in group decision making problems. In particular, we present the Importance IOWA (I-IOWA) operator, the Consistency IOWA (C-IOWA) operator and the Preference IOWA (P-IOWA) operator. We also provide a procedure to deal wi...

In this paper, we firstly defined neutrosophic parameterized neutrosophic soft sets(npn−soft sets) which is combination of a neutrosophic sets and a soft sets. Our npn−soft sets generalizes the concept of the other soft sets such as; fuzzy soft sets, intuitionistic fuzzy soft sets, neutrosophic soft sets, fuzzy parameterized soft sets, intuitionistic fuzzy parameterized soft sets, neutrosophic ...

The Pythagorean fuzzy soft set (PFSS) is the most proficient and manipulative leeway of (PFS), which contracts with parameterized values alternatives. It a generalized form intuitionistic (IFSS), provides healthier more accurate evaluations through decision-making (DM). main determination this research to prolong idea Einstein’s aggregation operators for PFSS. We introduce Einstein operational ...