the importance as well as the diculty of the problem of ranking fuzzy numbers is pointed out. here we consider approaches to the ranking of fuzzy numbers based upon the idea of associating with a fuzzy number a scalar value, its signal/noise ratios, where the signal and the noise are dened as the middle-point and the spread of each a-cut of a fuzzy number, respectively. we use the value of a ...

Global warming is mainly caused by carbon emissions. Currently, fewer countries are concentrating on reducing The primary strategy utilized numerous to achieve emissions reduction the tax policy. With this in mind, a sustainable two-warehouse inventory model was taken into account for controllable rate investing green technology initiatives under uncertain emission and cost parameters. globe cu...

then the Fibonacci numbers are given by Fn = Fn (1), and the Pell numbers are Pn = Fn(2). Cohn [4] has proved that the only perfect squares among the sequences {Fn(a)}9 a odd, are 0 and 1, and whenever a = k, a itself. Certain cases are known for a even [5]. The cited results of Cohn and Ljunggren mean that Conjectures 2.3,3.2, and 4.2 of [3] are true, and that the earlier results can be streng...

In many decision-making situations, we are not restricted to two kinds of aspects, such as membership degree or nonmembership degree, and sometimes need include the abstinence (AD). However, fuzzy set theories fail cover issues, an intuitionistic soft set, Pythagorean q-rung orthopair set. All above notions can only consider a in their structures. The spherical compensates for these drawbacks i...

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 ...

In this paper, a novel method for ranking of fuzzy numbers are proposed. In this method, decision maker is defined based on the center of mass at some cuts of a pair of fuzzy numbers in discreet version and center of mass on all of cuts of a pair of fuzzy numbers in continuous version. Our method can rank more than two fuzzy numbers simultaneously. Also, some properties of methods are described...

This paper suggests  a novel approach for ranking the most applicable fuzzy numbers, i.e.  $LR$-fuzzy numbers. Applying the  $alpha$-optimistic values of a fuzzy number, a preference criterion is proposed for ranking fuzzy numbers using the Credibility index. The main properties of the proposed  preference criterion  are also studied.  Moreover, the proposed method is   applied for ranking fuzz...

although there are many excellent ways presenting the principle of the classical calculus, the novel presentations probably leads most naturally to the development of the non-newtonian calculus. the important point to note is that the non-newtonian calculus is a self-contained system independent of any other system of calculus. since this self-contained work is intended for a wide audience, inc...

a fully fuzzy linear programming (fflp) formulation for the reservoir operation of amultipurpose reservoir in presented in the ongoing paper. in the real world, water resourcessystems usually have complexities among social, economic, natural resources andenvironmental aspects, which lead to multi-objective problems of significant uncertainties insystem parameters, objectives and in their intera...

in this paper, some elementary operations on triangular fuzzynumbers (tfns) are defined. we also define some operations on triangularfuzzy matrices (tfms) such as trace and triangular fuzzy determinant(tfd). using elementary operations, some important properties of tfms arepresented. the concept of adjoints on tfm is discussed and some of theirproperties are. some special types of tfms (e.g. pu...